766558983960 has 1024 divisors, whose sum is σ = 3329969356800. Its totient is φ = 154104768000.

The previous prime is 766558983941. The next prime is 766558984033. The reversal of 766558983960 is 69389855667.

766558983960 is a `hidden beast` number, since 7 + 6 + 6 + 5 + 589 + 8 + 39 + 6 + 0 = 666.

It is a super-2 number, since 2×766558983960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 208812925 + ... + 208816595.

It is an arithmetic number, because the mean of its divisors is an integer number (3251923200).

Almost surely, 2^766558983960 is an apocalyptic number.

766558983960 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 766558983960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664984678400).

766558983960 is an abundant number, since it is smaller than the sum of its proper divisors (2563410372840).

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

766558983960 is a wasteful number, since it uses less digits than its factorization.

766558983960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 766558983960 in words is "seven hundred sixty-six billion, five hundred fifty-eight million, nine hundred eighty-three thousand, nine hundred sixty".