961615758680 has 128 divisors (see below), whose sum is σ = 2332650700800. Its totient is φ = 355651545600.

The previous prime is 961615758667. The next prime is 961615758683. The reversal of 961615758680 is 86857516169.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961615758683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7630985 + ... + 7755975.

It is an arithmetic number, because the mean of its divisors is an integer number (18223833600).

Almost surely, 2^961615758680 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 961615758680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166325350400).

961615758680 is an abundant number, since it is smaller than the sum of its proper divisors (1371034942120).

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

961615758680 is a wasteful number, since it uses less digits than its factorization.

961615758680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125265 (or 125261 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 62.

The spelling of 961615758680 in words is "nine hundred sixty-one billion, six hundred fifteen million, seven hundred fifty-eight thousand, six hundred eighty".