610713576960 has 480 divisors, whose sum is σ = 2073626466912. Its totient is φ = 153307054080.

The previous prime is 610713576931. The next prime is 610713577013. The reversal of 610713576960 is 69675317016.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×610713576960³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

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, 501818272 + ... + 501819488.

Almost surely, 2^610713576960 is an apocalyptic number.

610713576960 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 610713576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036813233456).

610713576960 is an abundant number, since it is smaller than the sum of its proper divisors (1462912889952).

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

610713576960 is a wasteful number, since it uses less digits than its factorization.

610713576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 610713576960 in words is "six hundred ten billion, seven hundred thirteen million, five hundred seventy-six thousand, nine hundred sixty".