70406897375232 has 1152 divisors, whose sum is σ = 229496851584000. Its totient is φ = 20614963200000.

The previous prime is 70406897375219. The next prime is 70406897375249. The reversal of 70406897375232 is 23257379860407.

70406897375232 is a `hidden beast` number, since 7 + 0 + 40 + 68 + 9 + 7 + 3 + 7 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 70406897375232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280505567107 + ... + 280505567357.

It is an arithmetic number, because the mean of its divisors is an integer number (199216017000).

Almost surely, 2^{70406897375232} is an apocalyptic number.

70406897375232 is a gapful number since it is divisible by the number (72) 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 70406897375232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114748425792000).

70406897375232 is an abundant number, since it is smaller than the sum of its proper divisors (159089954208768).

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

70406897375232 is a wasteful number, since it uses less digits than its factorization.

70406897375232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 70406897375232 in words is "seventy trillion, four hundred six billion, eight hundred ninety-seven million, three hundred seventy-five thousand, two hundred thirty-two".