70921166400 has 504 divisors, whose sum is σ = 288906508800. Its totient is φ = 16164126720.

The previous prime is 70921166399. The next prime is 70921166401. The reversal of 70921166400 is 466112907.

70921166400 is a `hidden beast` number, since 7 + 0 + 9 + 2 + 1 + 1 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70921166399) and next prime (70921166401).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (70921166401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45258417 + ... + 45259983.

It is an arithmetic number, because the mean of its divisors is an integer number (573227200).

Almost surely, 2^70921166400 is an apocalyptic number.

70921166400 is a gapful number since it is divisible by the number (70) 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 70921166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144453254400).

70921166400 is an abundant number, since it is smaller than the sum of its proper divisors (217985342400).

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

70921166400 is a wasteful number, since it uses less digits than its factorization.

70921166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 70921166400 in words is "seventy billion, nine hundred twenty-one million, one hundred sixty-six thousand, four hundred".