70712640768 has 576 divisors, whose sum is σ = 256566804480. Its totient is φ = 16721510400.

The previous prime is 70712640763. The next prime is 70712640821. The reversal of 70712640768 is 86704621707.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70712640763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31163538 + ... + 31165806.

It is an arithmetic number, because the mean of its divisors is an integer number (445428480).

Almost surely, 2^70712640768 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 70712640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128283402240).

70712640768 is an abundant number, since it is smaller than the sum of its proper divisors (185854163712).

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

70712640768 is a wasteful number, since it uses less digits than its factorization.

70712640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 70712640768 in words is "seventy billion, seven hundred twelve million, six hundred forty thousand, seven hundred sixty-eight".