70864080672 has 288 divisors, whose sum is σ = 236693669184. Its totient is φ = 18356889600.

The previous prime is 70864080629. The next prime is 70864080689. The reversal of 70864080672 is 27608046807.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21782598 + ... + 21785850.

It is an arithmetic number, because the mean of its divisors is an integer number (821853018).

Almost surely, 2^70864080672 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 70864080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118346834592).

70864080672 is an abundant number, since it is smaller than the sum of its proper divisors (165829588512).

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

70864080672 is a wasteful number, since it uses less digits than its factorization.

70864080672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 70864080672 in words is "seventy billion, eight hundred sixty-four million, eighty thousand, six hundred seventy-two".