613302372864 has 240 divisors, whose sum is σ = 1888734619200. Its totient is φ = 191019368448.

The previous prime is 613302372847. The next prime is 613302372911. The reversal of 613302372864 is 468273203316.

613302372864 is a `hidden beast` number, since 6 + 1 + 330 + 2 + 37 + 286 + 4 = 666.

It is a super-2 number, since 2×613302372864² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6343317 + ... + 6439275.

It is an arithmetic number, because the mean of its divisors is an integer number (7869727580).

Almost surely, 2^613302372864 is an apocalyptic number.

613302372864 is a gapful number since it is divisible by the number (64) 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 613302372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944367309600).

613302372864 is an abundant number, since it is smaller than the sum of its proper divisors (1275432246336).

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

613302372864 is a wasteful number, since it uses less digits than its factorization.

613302372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96075 (or 96056 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 613302372864 in words is "six hundred thirteen billion, three hundred two million, three hundred seventy-two thousand, eight hundred sixty-four".