613477670400 has 1200 divisors, whose sum is σ = 2618063924256. Its totient is φ = 138974330880.

The previous prime is 613477670387. The next prime is 613477670431. The reversal of 613477670400 is 4076774316.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×613477670400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 994290892 + ... + 994291508.

Almost surely, 2^613477670400 is an apocalyptic number.

613477670400 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 613477670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309031962128).

613477670400 is an abundant number, since it is smaller than the sum of its proper divisors (2004586253856).

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

613477670400 is a wasteful number, since it uses less digits than its factorization.

613477670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 613477670400 in words is "six hundred thirteen billion, four hundred seventy-seven million, six hundred seventy thousand, four hundred".