96167714694480 has 1440 divisors, whose sum is σ = 386719847309952. Its totient is φ = 21228060672000.

The previous prime is 96167714694463. The next prime is 96167714694511. The reversal of 96167714694480 is 8449641776169.

96167714694480 is a `hidden beast` number, since 9 + 6 + 1 + 6 + 77 + 14 + 69 + 4 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 96167714694399 and 96167714694408.

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, 34333349080 + ... + 34333351880.

Almost surely, 2^{96167714694480} is an apocalyptic number.

96167714694480 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 96167714694480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193359923654976).

96167714694480 is an abundant number, since it is smaller than the sum of its proper divisors (290552132615472).

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

96167714694480 is a wasteful number, since it uses less digits than its factorization.

96167714694480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 96167714694480 in words is "ninety-six trillion, one hundred sixty-seven billion, seven hundred fourteen million, six hundred ninety-four thousand, four hundred eighty".