9879532416 has 384 divisors, whose sum is σ = 32419427040. Its totient is φ = 2976030720.

The previous prime is 9879532379. The next prime is 9879532433. The reversal of 9879532416 is 6142359789.

9879532416 is a `hidden beast` number, since 98 + 7 + 9 + 532 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21430426 + ... + 21430886.

Almost surely, 2^9879532416 is an apocalyptic number.

9879532416 is a gapful number since it is divisible by the number (96) 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 9879532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209713520).

9879532416 is an abundant number, since it is smaller than the sum of its proper divisors (22539894624).

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

9879532416 is a wasteful number, since it uses less digits than its factorization.

9879532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 532 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 9879532416 is about 99395.8370154404. The cubic root of 9879532416 is about 2145.7483974654.

The spelling of 9879532416 in words is "nine billion, eight hundred seventy-nine million, five hundred thirty-two thousand, four hundred sixteen".