96961877376 has 768 divisors, whose sum is σ = 351109785600. Its totient is φ = 23410114560.

The previous prime is 96961877347. The next prime is 96961877413. The reversal of 96961877376 is 67377816969.

It is a self number, because there is not a number n which added to its sum of digits gives 96961877376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144073776 + ... + 144074448.

It is an arithmetic number, because the mean of its divisors is an integer number (457174200).

Almost surely, 2^96961877376 is an apocalyptic number.

96961877376 is a gapful number since it is divisible by the number (96) 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 96961877376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175554892800).

96961877376 is an abundant number, since it is smaller than the sum of its proper divisors (254147908224).

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

96961877376 is a wasteful number, since it uses less digits than its factorization.

96961877376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 748 counting only the distinct ones).

The product of its digits is 144027072, while the sum is 69.

The spelling of 96961877376 in words is "ninety-six billion, nine hundred sixty-one million, eight hundred seventy-seven thousand, three hundred seventy-six".