8400093984 has 72 divisors (see below), whose sum is σ = 24772522320. Its totient is φ = 2800028736.

The previous prime is 8400093929. The next prime is 8400094039. The reversal of 8400093984 is 4893900048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8400093929) and next prime (8400094039).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532354 + ... + 547905.

It is an arithmetic number, because the mean of its divisors is an integer number (344062810).

Almost surely, 2^8400093984 is an apocalyptic number.

It is an amenable number.

8400093984 is an abundant number, since it is smaller than the sum of its proper divisors (16372428336).

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

8400093984 is a wasteful number, since it uses less digits than its factorization.

8400093984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080284 (or 1080264 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8400093984 is about 91652.0266224375. The cubic root of 8400093984 is about 2032.8002949503.

The spelling of 8400093984 in words is "eight billion, four hundred million, ninety-three thousand, nine hundred eighty-four".