6427454976 has 240 divisors, whose sum is σ = 20257036800. Its totient is φ = 2028976128.

The previous prime is 6427454953. The next prime is 6427454989. The reversal of 6427454976 is 6794547246.

6427454976 is a `hidden beast` number, since 6 + 4 + 27 + 4 + 549 + 76 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2362545 + ... + 2365263.

It is an arithmetic number, because the mean of its divisors is an integer number (84404320).

Almost surely, 2^6427454976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6427454976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128518400).

6427454976 is an abundant number, since it is smaller than the sum of its proper divisors (13829581824).

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

6427454976 is an equidigital number, since it uses as much as digits as its factorization.

6427454976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2743 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 6427454976 is about 80171.4099663964. The cubic root of 6427454976 is about 1859.2866359084.

The spelling of 6427454976 in words is "six billion, four hundred twenty-seven million, four hundred fifty-four thousand, nine hundred seventy-six".