613477177346000 has 640 divisors, whose sum is σ = 1703184076099584. Its totient is φ = 211660800000000.

The previous prime is 613477177345997. The next prime is 613477177346029. The reversal of 613477177346000 is 643771774316.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57869740700 + ... + 57869751300.

Almost surely, 2^{613477177346000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613477177346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851592038049792).

613477177346000 is an abundant number, since it is smaller than the sum of its proper divisors (1089706898753584).

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

613477177346000 is a wasteful number, since it uses less digits than its factorization.

613477177346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 56.

The spelling of 613477177346000 in words is "six hundred thirteen trillion, four hundred seventy-seven billion, one hundred seventy-seven million, three hundred forty-six thousand".