61913224800 has 2160 divisors, whose sum is σ = 294827879808. Its totient is φ = 12541132800.

The previous prime is 61913224799. The next prime is 61913224811. The reversal of 61913224800 is 842231916.

61913224800 is a `hidden beast` number, since 61 + 91 + 32 + 2 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1673330382 + ... + 1673330418.

Almost surely, 2^61913224800 is an apocalyptic number.

61913224800 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 61913224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147413939904).

61913224800 is an abundant number, since it is smaller than the sum of its proper divisors (232914655008).

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

61913224800 is a wasteful number, since it uses less digits than its factorization.

61913224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 61913224800 in words is "sixty-one billion, nine hundred thirteen million, two hundred twenty-four thousand, eight hundred".