96962725440 has 336 divisors, whose sum is σ = 383948952192. Its totient is φ = 22000508928.

The previous prime is 96962725439. The next prime is 96962725459. The reversal of 96962725440 is 4452726969.

96962725440 is a `hidden beast` number, since 9 + 6 + 9 + 627 + 2 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2744367 + ... + 2779473.

Almost surely, 2^96962725440 is an apocalyptic number.

96962725440 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 96962725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191974476096).

96962725440 is an abundant number, since it is smaller than the sum of its proper divisors (286986226752).

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

96962725440 is a wasteful number, since it uses less digits than its factorization.

96962725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35274 (or 35261 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 96962725440 in words is "ninety-six billion, nine hundred sixty-two million, seven hundred twenty-five thousand, four hundred forty".