7765970013568 has 768 divisors, whose sum is σ = 19678324377600. Its totient is φ = 3012658790400.

The previous prime is 7765970013563. The next prime is 7765970013589. The reversal of 7765970013568 is 8653100795677.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7765970013563) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 36805544983 + ... + 36805545193.

It is an arithmetic number, because the mean of its divisors is an integer number (25622818200).

Almost surely, 2^{7765970013568} 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 7765970013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839162188800).

7765970013568 is an abundant number, since it is smaller than the sum of its proper divisors (11912354364032).

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

7765970013568 is a wasteful number, since it uses less digits than its factorization.

7765970013568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 64.

The spelling of 7765970013568 in words is "seven trillion, seven hundred sixty-five billion, nine hundred seventy million, thirteen thousand, five hundred sixty-eight".