96607274400 has 1728 divisors, whose sum is σ = 448419299328. Its totient is φ = 19752284160.

The previous prime is 96607274369. The next prime is 96607274411. The reversal of 96607274400 is 447270669.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 760687137 + ... + 760687263.

Almost surely, 2^96607274400 is an apocalyptic number.

96607274400 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 96607274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224209649664).

96607274400 is an abundant number, since it is smaller than the sum of its proper divisors (351812024928).

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

96607274400 is a wasteful number, since it uses less digits than its factorization.

96607274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 96607274400 in words is "ninety-six billion, six hundred seven million, two hundred seventy-four thousand, four hundred".