61216462800 has 840 divisors, whose sum is σ = 238905238104. Its totient is φ = 15009546240.

The previous prime is 61216462799. The next prime is 61216462807. The reversal of 61216462800 is 826461216.

61216462800 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 646 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10704799296 + 50511663504 = 103464^2 + 224748^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61216462807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 262731484 + ... + 262731716.

Almost surely, 2^61216462800 is an apocalyptic number.

61216462800 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 61216462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119452619052).

61216462800 is an abundant number, since it is smaller than the sum of its proper divisors (177688775304).

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

61216462800 is a wasteful number, since it uses less digits than its factorization.

61216462800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 61216462800 in words is "sixty-one billion, two hundred sixteen million, four hundred sixty-two thousand, eight hundred".