9976675405440 has 512 divisors, whose sum is σ = 32514622905600. Its totient is φ = 2601569746944.

The previous prime is 9976675405439. The next prime is 9976675405453. The reversal of 9976675405440 is 445045766799.

It is a super-2 number, since 2×9976675405440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6550672519 + ... + 6550674041.

Almost surely, 2^{9976675405440} 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 9976675405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257311452800).

9976675405440 is an abundant number, since it is smaller than the sum of its proper divisors (22537947500160).

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

9976675405440 is a wasteful number, since it uses less digits than its factorization.

9976675405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 9976675405440 in words is "nine trillion, nine hundred seventy-six billion, six hundred seventy-five million, four hundred five thousand, four hundred forty".