163336400640 has 576 divisors, whose sum is σ = 674971315200. Its totient is φ = 36626743296.

The previous prime is 163336400627. The next prime is 163336400653. The reversal of 163336400640 is 46004633361.

163336400640 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 3 + 6 + 4 + 0 + 0 + 640 = 666.

163336400640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163336400627) and next prime (163336400653).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 163336400595 and 163336400604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12815391 + ... + 12828129.

It is an arithmetic number, because the mean of its divisors is an integer number (1171825200).

Almost surely, 2^163336400640 is an apocalyptic number.

163336400640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163336400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337485657600).

163336400640 is an abundant number, since it is smaller than the sum of its proper divisors (511634914560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163336400640 is a wasteful number, since it uses less digits than its factorization.

163336400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 163336400640 in words is "one hundred sixty-three billion, three hundred thirty-six million, four hundred thousand, six hundred forty".