612713216640 has 384 divisors, whose sum is σ = 2405530872000. Its totient is φ = 131810230272.

The previous prime is 612713216629. The next prime is 612713216671. The reversal of 612713216640 is 46612317216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407811 + ... + 1790909.

Almost surely, 2^612713216640 is an apocalyptic number.

612713216640 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 612713216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202765436000).

612713216640 is an abundant number, since it is smaller than the sum of its proper divisors (1792817655360).

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

612713216640 is a wasteful number, since it uses less digits than its factorization.

612713216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383152 (or 383133 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 612713216640 in words is "six hundred twelve billion, seven hundred thirteen million, two hundred sixteen thousand, six hundred forty".