4005900864 has 84 divisors (see below), whose sum is σ = 13122517824. Its totient is φ = 1144541952.

The previous prime is 4005900841. The next prime is 4005900881. The reversal of 4005900864 is 4680095004.

4005900864 is a `hidden beast` number, since 4 + 0 + 0 + 590 + 0 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 492732 + ... + 500795.

Almost surely, 2^4005900864 is an apocalyptic number.

It is an amenable number.

4005900864 is an abundant number, since it is smaller than the sum of its proper divisors (9116616960).

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

4005900864 is a wasteful number, since it uses less digits than its factorization.

4005900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993552 (or 993539 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4005900864 is about 63292.1864371899. The cubic root of 4005900864 is about 1588.1812549147.

Adding to 4005900864 its reverse (4680095004), we get a palindrome (8685995868).

The spelling of 4005900864 in words is "four billion, five million, nine hundred thousand, eight hundred sixty-four".