61377507878400 has 1080 divisors, whose sum is σ = 255928603777704. Its totient is φ = 14006432563200.

The previous prime is 61377507878381. The next prime is 61377507878527. The reversal of 61377507878400 is 487870577316.

61377507878400 is a `hidden beast` number, since 6 + 1 + 3 + 7 + 7 + 507 + 87 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3618308319 + ... + 3618325281.

Almost surely, 2^{61377507878400} is an apocalyptic number.

61377507878400 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 61377507878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127964301888852).

61377507878400 is an abundant number, since it is smaller than the sum of its proper divisors (194551095899304).

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

61377507878400 is a wasteful number, since it uses less digits than its factorization.

61377507878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17652 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 61377507878400 in words is "sixty-one trillion, three hundred seventy-seven billion, five hundred seven million, eight hundred seventy-eight thousand, four hundred".