961997679360 has 720 divisors, whose sum is σ = 3594064881792. Its totient is φ = 245447884800.

The previous prime is 961997679329. The next prime is 961997679457. The reversal of 961997679360 is 63976799169.

961997679360 is a `hidden beast` number, since 9 + 6 + 199 + 7 + 6 + 79 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 234003705 + ... + 234007815.

Almost surely, 2^961997679360 is an apocalyptic number.

961997679360 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 961997679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797032440896).

961997679360 is an abundant number, since it is smaller than the sum of its proper divisors (2632067202432).

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

961997679360 is a wasteful number, since it uses less digits than its factorization.

961997679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 208324872, while the sum is 72.

The spelling of 961997679360 in words is "nine hundred sixty-one billion, nine hundred ninety-seven million, six hundred seventy-nine thousand, three hundred sixty".