96790344892416 has 1056 divisors, whose sum is σ = 339641637823488. Its totient is φ = 26968451973120.

The previous prime is 96790344892391. The next prime is 96790344892421. The reversal of 96790344892416 is 61429844309769.

It is a happy number.

96790344892416 is a `hidden beast` number, since 9 + 6 + 7 + 90 + 3 + 44 + 89 + 2 + 416 = 666.

It is a super-2 number, since 2×96790344892416² (a number of 29 digits) contains 22 as substring.

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

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, 153391988421 + ... + 153391989051.

It is an arithmetic number, because the mean of its divisors is an integer number (321630338848).

Almost surely, 2^{96790344892416} is an apocalyptic number.

96790344892416 is a gapful number since it is divisible by the number (96) 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 96790344892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169820818911744).

96790344892416 is an abundant number, since it is smaller than the sum of its proper divisors (242851292931072).

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

96790344892416 is an frugal number, since it uses more digits than its factorization.

96790344892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 96790344892416 in words is "ninety-six trillion, seven hundred ninety billion, three hundred forty-four million, eight hundred ninety-two thousand, four hundred sixteen".