96937842000 has 320 divisors, whose sum is σ = 333985766400. Its totient is φ = 24103526400.

The previous prime is 96937841999. The next prime is 96937842013. The reversal of 96937842000 is 24873969.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11113641 + ... + 11122359.

It is an arithmetic number, because the mean of its divisors is an integer number (1043705520).

Almost surely, 2^96937842000 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 96937842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166992883200).

96937842000 is an abundant number, since it is smaller than the sum of its proper divisors (237047924400).

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

96937842000 is a wasteful number, since it uses less digits than its factorization.

96937842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 96937842000 in words is "ninety-six billion, nine hundred thirty-seven million, eight hundred forty-two thousand".