765274906368 has 864 divisors, whose sum is σ = 2727435110400. Its totient is φ = 205850050560.

The previous prime is 765274906343. The next prime is 765274906373. The reversal of 765274906368 is 863609472567.

765274906368 is a `hidden beast` number, since 7 + 6 + 5 + 27 + 490 + 63 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1290513880 + ... + 1290514472.

It is an arithmetic number, because the mean of its divisors is an integer number (3156753600).

Almost surely, 2^765274906368 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 765274906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363717555200).

765274906368 is an abundant number, since it is smaller than the sum of its proper divisors (1962160204032).

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

765274906368 is a wasteful number, since it uses less digits than its factorization.

765274906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 765274906368 in words is "seven hundred sixty-five billion, two hundred seventy-four million, nine hundred six thousand, three hundred sixty-eight".