96475643172480 has 768 divisors, whose sum is σ = 363453433136640. Its totient is φ = 21577622077440.

The previous prime is 96475643172463. The next prime is 96475643172523. The reversal of 96475643172480 is 8427134657469.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8091551799 + ... + 8091563721.

It is an arithmetic number, because the mean of its divisors is an integer number (473246657730).

It is a 1-persistent number, because it is pandigital, but 2⋅96475643172480 = 192951286344960 is not.

Almost surely, 2^{96475643172480} 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 96475643172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181726716568320).

96475643172480 is an abundant number, since it is smaller than the sum of its proper divisors (266977789964160).

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

96475643172480 is a wasteful number, since it uses less digits than its factorization.

96475643172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14249 (or 14224 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 96475643172480 in words is "ninety-six trillion, four hundred seventy-five billion, six hundred forty-three million, one hundred seventy-two thousand, four hundred eighty".