9979247520 has 576 divisors, whose sum is σ = 40685742720. Its totient is φ = 2274877440.

The previous prime is 9979247501. The next prime is 9979247539. The reversal of 9979247520 is 257429799.

9979247520 is a `hidden beast` number, since 9 + 9 + 79 + 2 + 47 + 520 = 666.

9979247520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9979247501) and next prime (9979247539).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8885679 + ... + 8886801.

It is an arithmetic number, because the mean of its divisors is an integer number (70634970).

Almost surely, 2^9979247520 is an apocalyptic number.

9979247520 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 9979247520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342871360).

9979247520 is an abundant number, since it is smaller than the sum of its proper divisors (30706495200).

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

9979247520 is a wasteful number, since it uses less digits than its factorization.

9979247520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 9979247520 is about 99896.1837108906. The cubic root of 9979247520 is about 2152.9433291472.

The spelling of 9979247520 in words is "nine billion, nine hundred seventy-nine million, two hundred forty-seven thousand, five hundred twenty".