6504086880 has 72 divisors (see below), whose sum is σ = 22195201392. Its totient is φ = 1734422784.

The previous prime is 6504086861. The next prime is 6504086887. The reversal of 6504086880 is 886804056.

6504086880 is a `hidden beast` number, since 6 + 504 + 0 + 8 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6504086880² = 84606292285176268800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6504086887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2256924 + ... + 2259803.

It is an arithmetic number, because the mean of its divisors is an integer number (308266686).

Almost surely, 2^6504086880 is an apocalyptic number.

6504086880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6504086880 is an abundant number, since it is smaller than the sum of its proper divisors (15691114512).

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

6504086880 is a wasteful number, since it uses less digits than its factorization.

6504086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516748 (or 4516737 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6504086880 is about 80647.9192540018. The cubic root of 6504086880 is about 1866.6466330049.

The spelling of 6504086880 in words is "six billion, five hundred four million, eighty-six thousand, eight hundred eighty".