961713459720 has 384 divisors, whose sum is σ = 3570245078400. Its totient is φ = 222555340800.

The previous prime is 961713459703. The next prime is 961713459757. The reversal of 961713459720 is 27954317169.

961713459720 is a `hidden beast` number, since 9 + 6 + 17 + 1 + 34 + 597 + 2 + 0 = 666.

It is a super-2 number, since 2×961713459720² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11607240 + ... + 11689800.

It is an arithmetic number, because the mean of its divisors is an integer number (9297513225).

Almost surely, 2^961713459720 is an apocalyptic number.

961713459720 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 961713459720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785122539200).

961713459720 is an abundant number, since it is smaller than the sum of its proper divisors (2608531618680).

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

961713459720 is a wasteful number, since it uses less digits than its factorization.

961713459720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82741 (or 82734 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 961713459720 in words is "nine hundred sixty-one billion, seven hundred thirteen million, four hundred fifty-nine thousand, seven hundred twenty".