6584479478640 has 160 divisors (see below), whose sum is σ = 25919855784960. Its totient is φ = 1505023877376.

The previous prime is 6584479478627. The next prime is 6584479478653. The reversal of 6584479478640 is 468749744856.

6584479478640 is a `hidden beast` number, since 6 + 5 + 8 + 44 + 79 + 478 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6584479478627) and next prime (6584479478653).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217725604 + ... + 217755843.

It is an arithmetic number, because the mean of its divisors is an integer number (161999098656).

Almost surely, 2^{6584479478640} is an apocalyptic number.

6584479478640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6584479478640 is an abundant number, since it is smaller than the sum of its proper divisors (19335376306320).

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

6584479478640 is a wasteful number, since it uses less digits than its factorization.

6584479478640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435481476 (or 435481464 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 6584479478640 in words is "six trillion, five hundred eighty-four billion, four hundred seventy-nine million, four hundred seventy-eight thousand, six hundred forty".