70457260687632 has 640 divisors, whose sum is σ = 254836822732800. Its totient is φ = 18140058832896.

The previous prime is 70457260687609. The next prime is 70457260687637. The reversal of 70457260687632 is 23678606275407.

70457260687632 is a `hidden beast` number, since 7 + 0 + 457 + 2 + 60 + 68 + 7 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 70457260687632.

It is not an unprimeable number, because it can be changed into a prime (70457260687637) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3385892844 + ... + 3385913652.

It is an arithmetic number, because the mean of its divisors is an integer number (398182535520).

Almost surely, 2^{70457260687632} is an apocalyptic number.

70457260687632 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 70457260687632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127418411366400).

70457260687632 is an abundant number, since it is smaller than the sum of its proper divisors (184379562045168).

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

70457260687632 is a wasteful number, since it uses less digits than its factorization.

70457260687632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22892 (or 22880 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 70457260687632 in words is "seventy trillion, four hundred fifty-seven billion, two hundred sixty million, six hundred eighty-seven thousand, six hundred thirty-two".