61792731814400 has 240 divisors, whose sum is σ = 155290503360960. Its totient is φ = 24363017011200.

The previous prime is 61792731814393. The next prime is 61792731814417. The reversal of 61792731814400 is 441813729716.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6696942587 + ... + 6696951813.

It is an arithmetic number, because the mean of its divisors is an integer number (647043764004).

Almost surely, 2^{61792731814400} 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 61792731814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77645251680480).

61792731814400 is an abundant number, since it is smaller than the sum of its proper divisors (93497771546560).

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

61792731814400 is an equidigital number, since it uses as much as digits as its factorization.

61792731814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16695 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 61792731814400 in words is "sixty-one trillion, seven hundred ninety-two billion, seven hundred thirty-one million, eight hundred fourteen thousand, four hundred".