8688740400 has 150 divisors (see below), whose sum is σ = 31183308332. Its totient is φ = 2316988800.

The previous prime is 8688740381. The next prime is 8688740441. The reversal of 8688740400 is 40478868.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 101686 + ... + 166485.

Almost surely, 2^8688740400 is an apocalyptic number.

8688740400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8688740400 is an abundant number, since it is smaller than the sum of its proper divisors (22494567932).

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

8688740400 is a wasteful number, since it uses less digits than its factorization.

8688740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268201 (or 268181 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8688740400 is about 93213.4131978869. The cubic root of 8688740400 is about 2055.8224636882.

The spelling of 8688740400 in words is "eight billion, six hundred eighty-eight million, seven hundred forty thousand, four hundred".