61798860047232 has 1280 divisors, whose sum is σ = 236025501212160. Its totient is φ = 15582357504000.

The previous prime is 61798860047213. The next prime is 61798860047279. The reversal of 61798860047232 is 23274006889716.

61798860047232 is a `hidden beast` number, since 6 + 1 + 79 + 8 + 8 + 60 + 0 + 472 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 61798860047232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14503367982 + ... + 14503372242.

It is an arithmetic number, because the mean of its divisors is an integer number (184394922822).

Almost surely, 2^{61798860047232} 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 61798860047232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118012750606080).

61798860047232 is an abundant number, since it is smaller than the sum of its proper divisors (174226641164928).

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

61798860047232 is a wasteful number, since it uses less digits than its factorization.

61798860047232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 61798860047232 in words is "sixty-one trillion, seven hundred ninety-eight billion, eight hundred sixty million, forty-seven thousand, two hundred thirty-two".