61312204800 has 1296 divisors, whose sum is σ = 283970074752. Its totient is φ = 12740198400.

The previous prime is 61312204799. The next prime is 61312204801. The reversal of 61312204800 is 840221316.

It is a Jordan-Polya number, since it can be written as 12! ⋅ (2!)⁷.

61312204800 is a `hidden beast` number, since 61 + 3 + 122 + 0 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61312204799) and next prime (61312204801).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61312204801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5573836795 + ... + 5573836805.

It is an arithmetic number, because the mean of its divisors is an integer number (219112712).

Almost surely, 2^61312204800 is an apocalyptic number.

61312204800 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 61312204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141985037376).

61312204800 is an abundant number, since it is smaller than the sum of its proper divisors (222657869952).

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

61312204800 is an frugal number, since it uses more digits than its factorization.

61312204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 61312204800 in words is "sixty-one billion, three hundred twelve million, two hundred four thousand, eight hundred".