163678112640 has 896 divisors, whose sum is σ = 699953702400. Its totient is φ = 35769102336.

The previous prime is 163678112629. The next prime is 163678112651. The reversal of 163678112640 is 46211876361.

163678112640 is a `hidden beast` number, since 1 + 636 + 7 + 8 + 1 + 1 + 2 + 6 + 4 + 0 = 666.

163678112640 is digitally balanced in base 2, 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 (163678112629) and next prime (163678112651).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75115071 + ... + 75117249.

Almost surely, 2^163678112640 is an apocalyptic number.

163678112640 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 163678112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349976851200).

163678112640 is an abundant number, since it is smaller than the sum of its proper divisors (536275589760).

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

163678112640 is an equidigital number, since it uses as much as digits as its factorization.

163678112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 163678112640 in words is "one hundred sixty-three billion, six hundred seventy-eight million, one hundred twelve thousand, six hundred forty".