70506052448832 has 4032 divisors, whose sum is σ = 302997690777600. Its totient is φ = 15428728627200.

The previous prime is 70506052448803. The next prime is 70506052448833. The reversal of 70506052448832 is 23884425060507.

70506052448832 is a `hidden beast` number, since 7 + 0 + 5 + 0 + 6 + 0 + 524 + 4 + 88 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×70506052448832² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70506052448833) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 316170638673 + ... + 316170638895.

It is an arithmetic number, because the mean of its divisors is an integer number (75148236800).

Almost surely, 2^{70506052448832} is an apocalyptic number.

70506052448832 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 70506052448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151498845388800).

70506052448832 is an abundant number, since it is smaller than the sum of its proper divisors (232491638328768).

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

70506052448832 is a wasteful number, since it uses less digits than its factorization.

70506052448832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 70506052448832 in words is "seventy trillion, five hundred six billion, fifty-two million, four hundred forty-eight thousand, eight hundred thirty-two".