96670641600 has 504 divisors, whose sum is σ = 382801124160. Its totient is φ = 22974013440.

The previous prime is 96670641503. The next prime is 96670641673. The reversal of 96670641600 is 614607669.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 5419897 + ... + 5437703.

It is an arithmetic number, because the mean of its divisors is an integer number (759526040).

Almost surely, 2^96670641600 is an apocalyptic number.

96670641600 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 96670641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191400562080).

96670641600 is an abundant number, since it is smaller than the sum of its proper divisors (286130482560).

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

96670641600 is a wasteful number, since it uses less digits than its factorization.

96670641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17877 (or 17859 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 96670641600 in words is "ninety-six billion, six hundred seventy million, six hundred forty-one thousand, six hundred".