6441564960 has 96 divisors (see below), whose sum is σ = 22545492480. Its totient is φ = 1717749504.

The previous prime is 6441564917. The next prime is 6441564973. The reversal of 6441564960 is 694651446.

It is a happy number.

6441564960 is a `hidden beast` number, since 6 + 4 + 4 + 156 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741232 + ... + 749871.

It is an arithmetic number, because the mean of its divisors is an integer number (234848880).

Almost surely, 2^6441564960 is an apocalyptic number.

6441564960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6441564960 is an abundant number, since it is smaller than the sum of its proper divisors (16103927520).

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

6441564960 is a wasteful number, since it uses less digits than its factorization.

6441564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491127 (or 1491113 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6441564960 is about 80259.3605755740. The cubic root of 6441564960 is about 1860.6461854713.

The spelling of 6441564960 in words is "six billion, four hundred forty-one million, five hundred sixty-four thousand, nine hundred sixty".