96810007472640 has 4480 divisors, whose sum is σ = 479666388529152. Its totient is φ = 18099362856960.

The previous prime is 96810007472603. The next prime is 96810007472681. The reversal of 96810007472640 is 4627470001869.

96810007472640 is a `hidden beast` number, since 9 + 6 + 8 + 100 + 0 + 7 + 472 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×96810007472640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 56186886819 + ... + 56186888541.

Almost surely, 2^{96810007472640} is an apocalyptic number.

96810007472640 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 96810007472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239833194264576).

96810007472640 is an abundant number, since it is smaller than the sum of its proper divisors (382856381056512).

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

96810007472640 is a wasteful number, since it uses less digits than its factorization.

96810007472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 96810007472640 in words is "ninety-six trillion, eight hundred ten billion, seven million, four hundred seventy-two thousand, six hundred forty".