768690562500 has 567 divisors, whose sum is σ = 2842378831929. Its totient is φ = 174648600000.

The previous prime is 768690562481. The next prime is 768690562553. The reversal of 768690562500 is 5265096867.

It is a happy number.

The square root of 768690562500 is 876750.

It is a perfect power (a square), and thus also a powerful number.

768690562500 is a `hidden beast` number, since 7 + 6 + 8 + 6 + 9 + 0 + 5 + 625 + 0 + 0 = 666.

768690562500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 673446727044 + 95243835456 = 820638^2 + 308616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4602937417 + ... + 4602937583.

Almost surely, 2^768690562500 is an apocalyptic number.

768690562500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

768690562500 is the 876750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768690562500

768690562500 is an abundant number, since it is smaller than the sum of its proper divisors (2073688269429).

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

768690562500 is an equidigital number, since it uses as much as digits as its factorization.

768690562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 768690562500 in words is "seven hundred sixty-eight billion, six hundred ninety million, five hundred sixty-two thousand, five hundred".