6287984640 has 864 divisors, whose sum is σ = 27259727040. Its totient is φ = 1361608704.

The previous prime is 6287984623. The next prime is 6287984663. The reversal of 6287984640 is 464897826.

6287984640 is a `hidden beast` number, since 628 + 7 + 9 + 8 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 330946551 + ... + 330946569.

It is an arithmetic number, because the mean of its divisors is an integer number (31550610).

Almost surely, 2^6287984640 is an apocalyptic number.

6287984640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6287984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629863520).

6287984640 is an abundant number, since it is smaller than the sum of its proper divisors (20971742400).

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

6287984640 is an equidigital number, since it uses as much as digits as its factorization.

6287984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6287984640 is about 79296.8135551486. The cubic root of 6287984640 is about 1845.7398579420.

The spelling of 6287984640 in words is "six billion, two hundred eighty-seven million, nine hundred eighty-four thousand, six hundred forty".