8749960416 has 96 divisors (see below), whose sum is σ = 25768753920. Its totient is φ = 2888307072.

The previous prime is 8749960411. The next prime is 8749960451. The reversal of 8749960416 is 6140699478.

8749960416 is a `hidden beast` number, since 87 + 4 + 99 + 60 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (8749960411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39831 + ... + 138153.

It is an arithmetic number, because the mean of its divisors is an integer number (268424520).

Almost surely, 2^8749960416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8749960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884376960).

8749960416 is an abundant number, since it is smaller than the sum of its proper divisors (17018793504).

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

8749960416 is a wasteful number, since it uses less digits than its factorization.

8749960416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98445 (or 98431 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8749960416 is about 93541.2230837292. The cubic root of 8749960416 is about 2060.6395425290.

The spelling of 8749960416 in words is "eight billion, seven hundred forty-nine million, nine hundred sixty thousand, four hundred sixteen".