4013553664 has 48 divisors (see below), whose sum is σ = 8497288800. Its totient is φ = 1888714752.

The previous prime is 4013553623. The next prime is 4013553667. The reversal of 4013553664 is 4663553104.

4013553664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013553664² = 32217226027615649792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013553667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22824 + ... + 92455.

It is an arithmetic number, because the mean of its divisors is an integer number (177026850).

Almost surely, 2^4013553664 is an apocalyptic number.

It is an amenable number.

4013553664 is an abundant number, since it is smaller than the sum of its proper divisors (4483735136).

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

4013553664 is a wasteful number, since it uses less digits than its factorization.

4013553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115318 (or 115298 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 4013553664 is about 63352.6137108802. The cubic root of 4013553664 is about 1589.1919557540.

The spelling of 4013553664 in words is "four billion, thirteen million, five hundred fifty-three thousand, six hundred sixty-four".