613506406560 has 96 divisors (see below), whose sum is σ = 1932985518912. Its totient is φ = 163564431360.

The previous prime is 613506406481. The next prime is 613506406577. The reversal of 613506406560 is 65604605316.

613506406560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×613506406560³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995975 + ... + 2282745.

It is an arithmetic number, because the mean of its divisors is an integer number (20135265822).

Almost surely, 2^613506406560 is an apocalyptic number.

613506406560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

613506406560 is an abundant number, since it is smaller than the sum of its proper divisors (1319479112352).

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

613506406560 is a wasteful number, since it uses less digits than its factorization.

613506406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291246 (or 291238 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 613506406560 in words is "six hundred thirteen billion, five hundred six million, four hundred six thousand, five hundred sixty".