664769913600 has 432 divisors, whose sum is σ = 2375997926400. Its totient is φ = 162710568960.

The previous prime is 664769913551. The next prime is 664769913611. The reversal of 664769913600 is 6319967466.

664769913600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44670961 + ... + 44685839.

It is an arithmetic number, because the mean of its divisors is an integer number (5499995200).

Almost surely, 2^664769913600 is an apocalyptic number.

664769913600 is a gapful number since it is divisible by the number (60) 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 664769913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187998963200).

664769913600 is an abundant number, since it is smaller than the sum of its proper divisors (1711228012800).

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

664769913600 is a wasteful number, since it uses less digits than its factorization.

664769913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15100 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 664769913600 in words is "six hundred sixty-four billion, seven hundred sixty-nine million, nine hundred thirteen thousand, six hundred".