765552066048 has 960 divisors, whose sum is σ = 2901928550400. Its totient is φ = 197035130880.

The previous prime is 765552065977. The next prime is 765552066061. The reversal of 765552066048 is 840660255567.

765552066048 is a `hidden beast` number, since 7 + 6 + 5 + 5 + 5 + 20 + 6 + 604 + 8 = 666.

765552066048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×765552066048² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 765552065985 and 765552066003.

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, 946293868 + ... + 946294676.

It is an arithmetic number, because the mean of its divisors is an integer number (3022842240).

Almost surely, 2^765552066048 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 765552066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450964275200).

765552066048 is an abundant number, since it is smaller than the sum of its proper divisors (2136376484352).

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

765552066048 is a wasteful number, since it uses less digits than its factorization.

765552066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 765552066048 in words is "seven hundred sixty-five billion, five hundred fifty-two million, sixty-six thousand, forty-eight".