768555970560 has 1248 divisors, whose sum is σ = 3245806287360. Its totient is φ = 164306092032.

The previous prime is 768555970537. The next prime is 768555970561. The reversal of 768555970560 is 65079555867.

768555970560 is a `hidden beast` number, since 7 + 6 + 8 + 5 + 559 + 70 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768555970561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2623057774 + ... + 2623058066.

It is an arithmetic number, because the mean of its divisors is an integer number (2600806320).

Almost surely, 2^768555970560 is an apocalyptic number.

768555970560 is a gapful number since it is divisible by the number (70) 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 768555970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622903143680).

768555970560 is an abundant number, since it is smaller than the sum of its proper divisors (2477250316800).

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

768555970560 is a wasteful number, since it uses less digits than its factorization.

768555970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 63.

The spelling of 768555970560 in words is "seven hundred sixty-eight billion, five hundred fifty-five million, nine hundred seventy thousand, five hundred sixty".