96309486332640 has 1536 divisors, whose sum is σ = 416059570483200. Its totient is φ = 20377111265280.

The previous prime is 96309486332629. The next prime is 96309486332659. The reversal of 96309486332640 is 4623368490369.

It is a happy number.

96309486332640 is a `hidden beast` number, since 9 + 6 + 309 + 4 + 8 + 63 + 3 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9062711007 + ... + 9062721633.

It is an arithmetic number, because the mean of its divisors is an integer number (270872116200).

Almost surely, 2^{96309486332640} is an apocalyptic number.

96309486332640 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 96309486332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208029785241600).

96309486332640 is an abundant number, since it is smaller than the sum of its proper divisors (319750084150560).

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

96309486332640 is a wasteful number, since it uses less digits than its factorization.

96309486332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 63.

The spelling of 96309486332640 in words is "ninety-six trillion, three hundred nine billion, four hundred eighty-six million, three hundred thirty-two thousand, six hundred forty".