163727260070400 has 3840 divisors, whose sum is σ = 706834119720960. Its totient is φ = 37247164416000.

The previous prime is 163727260070393. The next prime is 163727260070453. The reversal of 163727260070400 is 4070062727361.

163727260070400 is a `hidden beast` number, since 1 + 6 + 37 + 2 + 7 + 2 + 600 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×163727260070400³ (a number of 44 digits) contains 333 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 259472678085 + ... + 259472678715.

It is an arithmetic number, because the mean of its divisors is an integer number (184071385344).

Almost surely, 2^{163727260070400} is an apocalyptic number.

163727260070400 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 163727260070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353417059860480).

163727260070400 is an abundant number, since it is smaller than the sum of its proper divisors (543106859650560).

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

163727260070400 is an equidigital number, since it uses as much as digits as its factorization.

163727260070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 163727260070400 in words is "one hundred sixty-three trillion, seven hundred twenty-seven billion, two hundred sixty million, seventy thousand, four hundred".