4007981664 has 36 divisors (see below), whose sum is σ = 11397698676. Its totient is φ = 1335993792.

The previous prime is 4007981651. The next prime is 4007981671. The reversal of 4007981664 is 4661897004.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×4007981664³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6958014 + ... + 6958589.

It is an arithmetic number, because the mean of its divisors is an integer number (316602741).

Almost surely, 2^4007981664 is an apocalyptic number.

It is an amenable number.

4007981664 is an abundant number, since it is smaller than the sum of its proper divisors (7389717012).

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

4007981664 is a wasteful number, since it uses less digits than its factorization.

4007981664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13916619 (or 13916608 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4007981664 is about 63308.6223511458. The cubic root of 4007981664 is about 1588.4561922836.

The spelling of 4007981664 in words is "four billion, seven million, nine hundred eighty-one thousand, six hundred sixty-four".