613296966960 has 320 divisors, whose sum is σ = 2205568834560. Its totient is φ = 156346122240.

The previous prime is 613296966949. The next prime is 613296967001. The reversal of 613296966960 is 69669692316.

613296966960 is a `hidden beast` number, since 613 + 2 + 9 + 6 + 9 + 6 + 6 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×613296966960² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171741975 + ... + 171745545.

It is an arithmetic number, because the mean of its divisors is an integer number (6892402608).

Almost surely, 2^613296966960 is an apocalyptic number.

613296966960 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 613296966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102784417280).

613296966960 is an abundant number, since it is smaller than the sum of its proper divisors (1592271867600).

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

613296966960 is a wasteful number, since it uses less digits than its factorization.

613296966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 613296966960 in words is "six hundred thirteen billion, two hundred ninety-six million, nine hundred sixty-six thousand, nine hundred sixty".