961499784960 has 2592 divisors, whose sum is σ = 4411419667200. Its totient is φ = 190465966080.

The previous prime is 961499784929. The next prime is 961499784983. The reversal of 961499784960 is 69487994169.

961499784960 is a `hidden beast` number, since 9 + 6 + 1 + 49 + 97 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6917264571 + ... + 6917264709.

It is an arithmetic number, because the mean of its divisors is an integer number (1701936600).

Almost surely, 2^961499784960 is an apocalyptic number.

961499784960 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 961499784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205709833600).

961499784960 is an abundant number, since it is smaller than the sum of its proper divisors (3449919882240).

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

961499784960 is a wasteful number, since it uses less digits than its factorization.

961499784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 961499784960 in words is "nine hundred sixty-one billion, four hundred ninety-nine million, seven hundred eighty-four thousand, nine hundred sixty".