96376176000 has 768 divisors, whose sum is σ = 385232702400. Its totient is φ = 23542272000.

The previous prime is 96376175953. The next prime is 96376176047. The reversal of 96376176000 is 67167369.

96376176000 is a `hidden beast` number, since 9 + 6 + 37 + 6 + 1 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96376175953) and next prime (96376176047).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 735695935 + ... + 735696065.

Almost surely, 2^96376176000 is an apocalyptic number.

96376176000 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 96376176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192616351200).

96376176000 is an abundant number, since it is smaller than the sum of its proper divisors (288856526400).

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

96376176000 is a wasteful number, since it uses less digits than its factorization.

96376176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 96376176000 in words is "ninety-six billion, three hundred seventy-six million, one hundred seventy-six thousand".