6642617952 has 48 divisors (see below), whose sum is σ = 17862172272. Its totient is φ = 2160199680.

The previous prime is 6642617951. The next prime is 6642617957. The reversal of 6642617952 is 2597162466.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642617951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 839893 + ... + 847764.

It is an arithmetic number, because the mean of its divisors is an integer number (372128589).

Almost surely, 2^6642617952 is an apocalyptic number.

It is an amenable number.

6642617952 is an abundant number, since it is smaller than the sum of its proper divisors (11219554320).

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

6642617952 is a wasteful number, since it uses less digits than its factorization.

6642617952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687711 (or 1687703 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 6642617952 is about 81502.2573429718. The cubic root of 6642617952 is about 1879.8062604034.

It can be divided in two parts, 664 and 2617952, that added together give a triangular number (2618616 = T₂₂₈₈).

The spelling of 6642617952 in words is "six billion, six hundred forty-two million, six hundred seventeen thousand, nine hundred fifty-two".