766506628020 has 192 divisors, whose sum is σ = 2524741632000. Its totient is φ = 170123079168.

The previous prime is 766506628003. The next prime is 766506628049. The reversal of 766506628020 is 20826605667.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2354106 + ... + 2659854.

It is an arithmetic number, because the mean of its divisors is an integer number (13149696000).

Almost surely, 2^766506628020 is an apocalyptic number.

766506628020 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 766506628020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262370816000).

766506628020 is an abundant number, since it is smaller than the sum of its proper divisors (1758235003980).

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

766506628020 is a wasteful number, since it uses less digits than its factorization.

766506628020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305942 (or 305940 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 766506628020 in words is "seven hundred sixty-six billion, five hundred six million, six hundred twenty-eight thousand, twenty".