6427644300 has 576 divisors, whose sum is σ = 26398310400. Its totient is φ = 1302739200.

The previous prime is 6427644287. The next prime is 6427644313. The reversal of 6427644300 is 34467246.

6427644300 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 644 + 3 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6427644287) and next prime (6427644313).

It is a super-2 number, since 2×6427644300² = 82629222494644980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8939341 + ... + 8940059.

It is an arithmetic number, because the mean of its divisors is an integer number (45830400).

Almost surely, 2^6427644300 is an apocalyptic number.

6427644300 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 6427644300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199155200).

6427644300 is an abundant number, since it is smaller than the sum of its proper divisors (19970666100).

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

6427644300 is a wasteful number, since it uses less digits than its factorization.

6427644300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6427644300 is about 80172.5907028082. The cubic root of 6427644300 is about 1859.3048911446.

The spelling of 6427644300 in words is "six billion, four hundred twenty-seven million, six hundred forty-four thousand, three hundred".