96475637747328 has 1280 divisors, whose sum is σ = 329602649333760. Its totient is φ = 24914810511360.

The previous prime is 96475637747323. The next prime is 96475637747353. The reversal of 96475637747328 is 82374773657469.

It is a super-2 number, since 2×96475637747328² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96475637747323) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28267105750 + ... + 28267109162.

It is an arithmetic number, because the mean of its divisors is an integer number (257502069792).

Almost surely, 2^{96475637747328} is an apocalyptic number.

96475637747328 is a gapful number since it is divisible by the number (98) 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 96475637747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164801324666880).

96475637747328 is an abundant number, since it is smaller than the sum of its proper divisors (233127011586432).

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

96475637747328 is a wasteful number, since it uses less digits than its factorization.

96475637747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3522 counting only the distinct ones).

The product of its digits is 8961684480, while the sum is 78.

The spelling of 96475637747328 in words is "ninety-six trillion, four hundred seventy-five billion, six hundred thirty-seven million, seven hundred forty-seven thousand, three hundred twenty-eight".