961961484960 has 432 divisors, whose sum is σ = 4019630378400. Its totient is φ = 208304151552.

The previous prime is 961961484943. The next prime is 961961485003. The reversal of 961961484960 is 69484169169.

961961484960 is a `hidden beast` number, since 9 + 6 + 1 + 9 + 61 + 484 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 981871 + ... + 1699409.

It is an arithmetic number, because the mean of its divisors is an integer number (9304699950).

Almost surely, 2^961961484960 is an apocalyptic number.

961961484960 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 961961484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009815189200).

961961484960 is an abundant number, since it is smaller than the sum of its proper divisors (3057668893440).

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

961961484960 is a wasteful number, since it uses less digits than its factorization.

961961484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717593 (or 717575 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 961961484960 in words is "nine hundred sixty-one billion, nine hundred sixty-one million, four hundred eighty-four thousand, nine hundred sixty".