61431792800 has 144 divisors (see below), whose sum is σ = 171877749120. Its totient is φ = 21002972160.

The previous prime is 61431792781. The next prime is 61431792811. The reversal of 61431792800 is 829713416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1995122 + ... + 2025678.

It is an arithmetic number, because the mean of its divisors is an integer number (1193595480).

Almost surely, 2^61431792800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61431792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85938874560).

61431792800 is an abundant number, since it is smaller than the sum of its proper divisors (110445956320).

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

61431792800 is a wasteful number, since it uses less digits than its factorization.

61431792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30943 (or 30930 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 61431792800 in words is "sixty-one billion, four hundred thirty-one million, seven hundred ninety-two thousand, eight hundred".