96288764040 has 512 divisors, whose sum is σ = 377612928000. Its totient is φ = 21366374400.

The previous prime is 96288764021. The next prime is 96288764051. The reversal of 96288764040 is 4046788269.

96288764040 is a `hidden beast` number, since 9 + 628 + 8 + 7 + 6 + 4 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74699716 + ... + 74701004.

It is an arithmetic number, because the mean of its divisors is an integer number (737525250).

Almost surely, 2^96288764040 is an apocalyptic number.

96288764040 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 96288764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188806464000).

96288764040 is an abundant number, since it is smaller than the sum of its proper divisors (281324163960).

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

96288764040 is a wasteful number, since it uses less digits than its factorization.

96288764040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 96288764040 in words is "ninety-six billion, two hundred eighty-eight million, seven hundred sixty-four thousand, forty".