8749399680 has 1024 divisors, whose sum is σ = 38541312000. Its totient is φ = 1854296064.

The previous prime is 8749399679. The next prime is 8749399693. The reversal of 8749399680 is 869939478.

8749399680 is a `hidden beast` number, since 87 + 493 + 9 + 9 + 68 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186157417 + ... + 186157463.

It is an arithmetic number, because the mean of its divisors is an integer number (37638000).

Almost surely, 2^8749399680 is an apocalyptic number.

8749399680 is a gapful number since it is divisible by the number (80) 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 8749399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270656000).

8749399680 is an abundant number, since it is smaller than the sum of its proper divisors (29791912320).

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

8749399680 is an equidigital number, since it uses as much as digits as its factorization.

8749399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 8749399680 is about 93538.2257689336. The cubic root of 8749399680 is about 2060.5955233029.

The spelling of 8749399680 in words is "eight billion, seven hundred forty-nine million, three hundred ninety-nine thousand, six hundred eighty".