61710112800 has 864 divisors, whose sum is σ = 259567386624. Its totient is φ = 13499136000.

The previous prime is 61710112777. The next prime is 61710112801. The reversal of 61710112800 is 821101716.

61710112800 is a `hidden beast` number, since 617 + 10 + 11 + 28 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (61710112801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198424645 + ... + 198424955.

It is an arithmetic number, because the mean of its divisors is an integer number (300425216).

Almost surely, 2^61710112800 is an apocalyptic number.

61710112800 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 61710112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129783693312).

61710112800 is an abundant number, since it is smaller than the sum of its proper divisors (197857273824).

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

61710112800 is a wasteful number, since it uses less digits than its factorization.

61710112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 61710112800 in words is "sixty-one billion, seven hundred ten million, one hundred twelve thousand, eight hundred".