96286740480 has 624 divisors, whose sum is σ = 389472220800. Its totient is φ = 21993947136.

The previous prime is 96286740479. The next prime is 96286740533. The reversal of 96286740480 is 8404768269.

96286740480 is a `hidden beast` number, since 9 + 62 + 8 + 67 + 40 + 480 = 666.

It is a super-2 number, since 2×96286740480² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63220999 + ... + 63222521.

It is an arithmetic number, because the mean of its divisors is an integer number (624154200).

Almost surely, 2^96286740480 is an apocalyptic number.

96286740480 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 96286740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194736110400).

96286740480 is an abundant number, since it is smaller than the sum of its proper divisors (293185480320).

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

96286740480 is a wasteful number, since it uses less digits than its factorization.

96286740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1540 counting only the distinct ones).

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

The spelling of 96286740480 in words is "ninety-six billion, two hundred eighty-six million, seven hundred forty thousand, four hundred eighty".