96617361600 has 336 divisors, whose sum is σ = 358185110400. Its totient is φ = 25327272960.

The previous prime is 96617361571. The next prime is 96617361613. The reversal of 96617361600 is 616371669.

96617361600 is a `hidden beast` number, since 9 + 6 + 6 + 1 + 7 + 36 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529847 + ... + 2567753.

Almost surely, 2^96617361600 is an apocalyptic number.

96617361600 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 96617361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179092555200).

96617361600 is an abundant number, since it is smaller than the sum of its proper divisors (261567748800).

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

96617361600 is a wasteful number, since it uses less digits than its factorization.

96617361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37997 (or 37976 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 96617361600 in words is "ninety-six billion, six hundred seventeen million, three hundred sixty-one thousand, six hundred".