96993682632 has 640 divisors, whose sum is σ = 354836275200. Its totient is φ = 24018508800.

The previous prime is 96993682609. The next prime is 96993682633. The reversal of 96993682632 is 23628639969.

96993682632 is a `hidden beast` number, since 9 + 6 + 9 + 9 + 368 + 263 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96993682632.

It is not an unprimeable number, because it can be changed into a prime (96993682633) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 112914219 + ... + 112915077.

It is an arithmetic number, because the mean of its divisors is an integer number (554431680).

Almost surely, 2^96993682632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96993682632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177418137600).

96993682632 is an abundant number, since it is smaller than the sum of its proper divisors (257842592568).

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

96993682632 is a wasteful number, since it uses less digits than its factorization.

96993682632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

The spelling of 96993682632 in words is "ninety-six billion, nine hundred ninety-three million, six hundred eighty-two thousand, six hundred thirty-two".