96376526400 has 672 divisors, whose sum is σ = 398065093632. Its totient is φ = 19830988800.

The previous prime is 96376526347. The next prime is 96376526401. The reversal of 96376526400 is 462567369.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96376526400.

It is not an unprimeable number, because it can be changed into a prime (96376526401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39545982 + ... + 39548418.

Almost surely, 2^96376526400 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 96376526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199032546816).

96376526400 is an abundant number, since it is smaller than the sum of its proper divisors (301688567232).

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

96376526400 is a wasteful number, since it uses less digits than its factorization.

96376526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 96376526400 in words is "ninety-six billion, three hundred seventy-six million, five hundred twenty-six thousand, four hundred".