9915972480 has 512 divisors, whose sum is σ = 36802252800. Its totient is φ = 2520391680.

The previous prime is 9915972461. The next prime is 9915972487. The reversal of 9915972480 is 842795199.

9915972480 is a `hidden beast` number, since 9 + 9 + 1 + 597 + 2 + 48 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9915972487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57317674 + ... + 57317846.

It is an arithmetic number, because the mean of its divisors is an integer number (71879400).

Almost surely, 2^9915972480 is an apocalyptic number.

9915972480 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 9915972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18401126400).

9915972480 is an abundant number, since it is smaller than the sum of its proper divisors (26886280320).

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

9915972480 is a wasteful number, since it uses less digits than its factorization.

9915972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 9915972480 is about 99578.9760943544. The cubic root of 9915972480 is about 2148.3833153820.

The spelling of 9915972480 in words is "nine billion, nine hundred fifteen million, nine hundred seventy-two thousand, four hundred eighty".