961741993680 has 640 divisors, whose sum is σ = 3690003824640. Its totient is φ = 228637624320.

The previous prime is 961741993621. The next prime is 961741993691. The reversal of 961741993680 is 86399147169.

961741993680 is a `hidden beast` number, since 9 + 617 + 4 + 1 + 9 + 9 + 3 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646765897 + ... + 646767383.

It is an arithmetic number, because the mean of its divisors is an integer number (5765630976).

Almost surely, 2^961741993680 is an apocalyptic number.

961741993680 is a gapful number since it is divisible by the number (90) 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 961741993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845001912320).

961741993680 is an abundant number, since it is smaller than the sum of its proper divisors (2728261830960).

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

961741993680 is a wasteful number, since it uses less digits than its factorization.

961741993680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 961741993680 in words is "nine hundred sixty-one billion, seven hundred forty-one million, nine hundred ninety-three thousand, six hundred eighty".