640930926009600 has 1944 divisors, whose sum is σ = 2476222004092928. Its totient is φ = 164056828723200.

The previous prime is 640930926009589. The next prime is 640930926009667. The reversal of 640930926009600 is 6900629039046.

640930926009600 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 3 + 0 + 9 + 26 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 165316202862 + ... + 165316206738.

Almost surely, 2^{640930926009600} is an apocalyptic number.

640930926009600 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 640930926009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238111002046464).

640930926009600 is an abundant number, since it is smaller than the sum of its proper divisors (1835291078083328).

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

640930926009600 is an equidigital number, since it uses as much as digits as its factorization.

640930926009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 640930926009600 in words is "six hundred forty trillion, nine hundred thirty billion, nine hundred twenty-six million, nine thousand, six hundred".