9241879680 has 640 divisors, whose sum is σ = 37944244800. Its totient is φ = 2120048640.

The previous prime is 9241879679. The next prime is 9241879693. The reversal of 9241879680 is 869781429.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10834134 + ... + 10834986.

Almost surely, 2^9241879680 is an apocalyptic number.

9241879680 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 9241879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972122400).

9241879680 is an abundant number, since it is smaller than the sum of its proper divisors (28702365120).

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

9241879680 is a wasteful number, since it uses less digits than its factorization.

9241879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9241879680 is about 96134.6955058370. The cubic root of 9241879680 is about 2098.5537797612.

The spelling of 9241879680 in words is "nine billion, two hundred forty-one million, eight hundred seventy-nine thousand, six hundred eighty".