612809715680640 has 640 divisors, whose sum is σ = 2307433305830400. Its totient is φ = 154559885709312.

The previous prime is 612809715680627. The next prime is 612809715680711. The reversal of 612809715680640 is 46086517908216.

612809715680640 is a `hidden beast` number, since 6 + 1 + 2 + 8 + 0 + 9 + 7 + 1 + 568 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 597358227 + ... + 598383213.

It is an arithmetic number, because the mean of its divisors is an integer number (3605364540360).

Almost surely, 2^{612809715680640} is an apocalyptic number.

612809715680640 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 612809715680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153716652915200).

612809715680640 is an abundant number, since it is smaller than the sum of its proper divisors (1694623590149760).

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

612809715680640 is a wasteful number, since it uses less digits than its factorization.

612809715680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025644 (or 1025623 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 612809715680640 in words is "six hundred twelve trillion, eight hundred nine billion, seven hundred fifteen million, six hundred eighty thousand, six hundred forty".