96377345280 has 864 divisors, whose sum is σ = 362969268480. Its totient is φ = 23551672320.

The previous prime is 96377345269. The next prime is 96377345287. The reversal of 96377345280 is 8254377369.

96377345280 is a `hidden beast` number, since 96 + 37 + 73 + 452 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96377345287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1082891476 + ... + 1082891564.

It is an arithmetic number, because the mean of its divisors is an integer number (420103320).

Almost surely, 2^96377345280 is an apocalyptic number.

96377345280 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 96377345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181484634240).

96377345280 is an abundant number, since it is smaller than the sum of its proper divisors (266591923200).

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

96377345280 is a wasteful number, since it uses less digits than its factorization.

96377345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 96377345280 in words is "ninety-six billion, three hundred seventy-seven million, three hundred forty-five thousand, two hundred eighty".