70920789672096 has 576 divisors, whose sum is σ = 256898767297536. Its totient is φ = 18060027494400.

The previous prime is 70920789672091. The next prime is 70920789672169. The reversal of 70920789672096 is 69027698702907.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (70920789672091) by changing a digit.

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, 103889001 + ... + 104569431.

It is an arithmetic number, because the mean of its divisors is an integer number (446004804336).

Almost surely, 2^{70920789672096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70920789672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128449383648768).

70920789672096 is an abundant number, since it is smaller than the sum of its proper divisors (185977977625440).

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

70920789672096 is a wasteful number, since it uses less digits than its factorization.

70920789672096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680605 (or 680594 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 70920789672096 in words is "seventy trillion, nine hundred twenty billion, seven hundred eighty-nine million, six hundred seventy-two thousand, ninety-six".