70701216768 has 1760 divisors, whose sum is σ = 299602195200. Its totient is φ = 16052649984.

The previous prime is 70701216727. The next prime is 70701216799. The reversal of 70701216768 is 86761210707.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2437972978 + ... + 2437973006.

It is an arithmetic number, because the mean of its divisors is an integer number (170228520).

Almost surely, 2^70701216768 is an apocalyptic number.

70701216768 is a gapful number since it is divisible by the number (78) 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 70701216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149801097600).

70701216768 is an abundant number, since it is smaller than the sum of its proper divisors (228900978432).

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

70701216768 is a wasteful number, since it uses less digits than its factorization.

70701216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 70701216768 in words is "seventy billion, seven hundred one million, two hundred sixteen thousand, seven hundred sixty-eight".