60961764864 has 640 divisors, whose sum is σ = 225265582080. Its totient is φ = 14133657600.

The previous prime is 60961764827. The next prime is 60961764893. The reversal of 60961764864 is 46846716906.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47662977 + ... + 47664255.

It is an arithmetic number, because the mean of its divisors is an integer number (351977472).

Almost surely, 2^60961764864 is an apocalyptic number.

60961764864 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 60961764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112632791040).

60961764864 is an abundant number, since it is smaller than the sum of its proper divisors (164303817216).

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

60961764864 is a wasteful number, since it uses less digits than its factorization.

60961764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 60961764864 in words is "sixty billion, nine hundred sixty-one million, seven hundred sixty-four thousand, eight hundred sixty-four".