96993879840 has 768 divisors, whose sum is σ = 401355440640. Its totient is φ = 21567651840.

The previous prime is 96993879803. The next prime is 96993879877. The reversal of 96993879840 is 4897839969.

It is an interprime number because it is at equal distance from previous prime (96993879803) and next prime (96993879877).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 121698322 + ... + 121699118.

It is an arithmetic number, because the mean of its divisors is an integer number (522598230).

Almost surely, 2^96993879840 is an apocalyptic number.

96993879840 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 96993879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200677720320).

96993879840 is an abundant number, since it is smaller than the sum of its proper divisors (304361560800).

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

96993879840 is a wasteful number, since it uses less digits than its factorization.

96993879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 96993879840 in words is "ninety-six billion, nine hundred ninety-three million, eight hundred seventy-nine thousand, eight hundred forty".