70604752280832 has 1152 divisors, whose sum is σ = 274237796044800. Its totient is φ = 17359316582400.

The previous prime is 70604752280827. The next prime is 70604752280837. The reversal of 70604752280832 is 23808225740607.

70604752280832 is a `hidden beast` number, since 7 + 0 + 6 + 0 + 4 + 7 + 522 + 80 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (70604752280827) and next prime (70604752280837).

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

It is a super-2 number, since 2×70604752280832² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70604752280837) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17403190548 + ... + 17403194604.

It is an arithmetic number, because the mean of its divisors is an integer number (238053642400).

Almost surely, 2^{70604752280832} is an apocalyptic number.

70604752280832 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 70604752280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137118898022400).

70604752280832 is an abundant number, since it is smaller than the sum of its proper divisors (203633043763968).

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

70604752280832 is a wasteful number, since it uses less digits than its factorization.

70604752280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 70604752280832 in words is "seventy trillion, six hundred four billion, seven hundred fifty-two million, two hundred eighty thousand, eight hundred thirty-two".