96290744760 has 384 divisors, whose sum is σ = 389610777600. Its totient is φ = 21052120320.

The previous prime is 96290744729. The next prime is 96290744833. The reversal of 96290744760 is 6744709269.

It is a happy number.

96290744760 is a `hidden beast` number, since 9 + 629 + 0 + 7 + 4 + 4 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96290744697 and 96290744706.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1177605 + ... + 1256715.

It is an arithmetic number, because the mean of its divisors is an integer number (1014611400).

Almost surely, 2^96290744760 is an apocalyptic number.

96290744760 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 96290744760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194805388800).

96290744760 is an abundant number, since it is smaller than the sum of its proper divisors (293320032840).

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

96290744760 is a wasteful number, since it uses less digits than its factorization.

96290744760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79168 (or 79151 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 96290744760 in words is "ninety-six billion, two hundred ninety million, seven hundred forty-four thousand, seven hundred sixty".