9975461247360 has 1280 divisors, whose sum is σ = 43595004816000. Its totient is φ = 2121752641536.

The previous prime is 9975461247331. The next prime is 9975461247373. The reversal of 9975461247360 is 637421645799.

9975461247360 is a `hidden beast` number, since 9 + 9 + 7 + 5 + 4 + 612 + 4 + 7 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×9975461247360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 549028356 + ... + 549046524.

Almost surely, 2^{9975461247360} is an apocalyptic number.

9975461247360 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 9975461247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21797502408000).

9975461247360 is an abundant number, since it is smaller than the sum of its proper divisors (33619543568640).

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

9975461247360 is a wasteful number, since it uses less digits than its factorization.

9975461247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18313 (or 18292 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 9975461247360 in words is "nine trillion, nine hundred seventy-five billion, four hundred sixty-one million, two hundred forty-seven thousand, three hundred sixty".