6440586480 has 80 divisors (see below), whose sum is σ = 22184249760. Its totient is φ = 1717489152.

The previous prime is 6440586461. The next prime is 6440586491. The reversal of 6440586480 is 846850446.

6440586480 is a `hidden beast` number, since 64 + 4 + 0 + 586 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

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

It is a congruent number.

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, 1488717 + ... + 1493036.

It is an arithmetic number, because the mean of its divisors is an integer number (277303122).

Almost surely, 2^6440586480 is an apocalyptic number.

6440586480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6440586480 is an abundant number, since it is smaller than the sum of its proper divisors (15743663280).

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

6440586480 is a wasteful number, since it uses less digits than its factorization.

6440586480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981775 (or 2981763 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 6440586480 is about 80253.2646064944. The cubic root of 6440586480 is about 1860.5519693772.

The spelling of 6440586480 in words is "six billion, four hundred forty million, five hundred eighty-six thousand, four hundred eighty".