766604318992512 has 3072 divisors, whose sum is σ = 2995781212569600. Its totient is φ = 170220795494400.

The previous prime is 766604318992507. The next prime is 766604318992559. The reversal of 766604318992512 is 215299813406667.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 460976739393 + ... + 460976741055.

It is an arithmetic number, because the mean of its divisors is an integer number (975189196800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅766604318992512 = 1533208637985024, but 3⋅766604318992512 = 2299812956977536 is not.

Almost surely, 2^{766604318992512} 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 766604318992512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497890606284800).

766604318992512 is an abundant number, since it is smaller than the sum of its proper divisors (2229176893577088).

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

766604318992512 is a wasteful number, since it uses less digits than its factorization.

766604318992512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 766604318992512 in words is "seven hundred sixty-six trillion, six hundred four billion, three hundred eighteen million, nine hundred ninety-two thousand, five hundred twelve".