61790581162944 has 196 divisors, whose sum is σ = 184090334212296. Its totient is φ = 20568749603328.

The previous prime is 61790581162927. The next prime is 61790581162957. The reversal of 61790581162944 is 44926118509716.

61790581162944 is a `hidden beast` number, since 6 + 1 + 7 + 9 + 0 + 581 + 1 + 6 + 2 + 9 + 44 = 666.

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 27 ways as a sum of consecutive naturals, for example, 33295447 + ... + 35102249.

Almost surely, 2^{61790581162944} is an apocalyptic number.

61790581162944 is a gapful number since it is divisible by the number (64) 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 61790581162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92045167106148).

61790581162944 is an abundant number, since it is smaller than the sum of its proper divisors (122299753049352).

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

61790581162944 is an equidigital number, since it uses as much as digits as its factorization.

61790581162944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807566 (or 1807541 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 61790581162944 in words is "sixty-one trillion, seven hundred ninety billion, five hundred eighty-one million, one hundred sixty-two thousand, nine hundred forty-four".