96347499494400 has 2640 divisors, whose sum is σ = 448561933746432. Its totient is φ = 20016245145600.

The previous prime is 96347499494347. The next prime is 96347499494401. The reversal of 96347499494400 is 449499474369.

96347499494400 is a `hidden beast` number, since 9 + 6 + 3 + 4 + 7 + 4 + 99 + 494 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96347499494401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19319728707 + ... + 19319733693.

Almost surely, 2^{96347499494400} is an apocalyptic number.

96347499494400 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 96347499494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224280966873216).

96347499494400 is an abundant number, since it is smaller than the sum of its proper divisors (352214434252032).

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

96347499494400 is a wasteful number, since it uses less digits than its factorization.

96347499494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 96347499494400 in words is "ninety-six trillion, three hundred forty-seven billion, four hundred ninety-nine million, four hundred ninety-four thousand, four hundred".