6424857600 has 1056 divisors, whose sum is σ = 27778936320. Its totient is φ = 1274019840.

The previous prime is 6424857587. The next prime is 6424857613. The reversal of 6424857600 is 67584246.

It is an interprime number because it is at equal distance from previous prime (6424857587) and next prime (6424857613).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173644782 + ... + 173644818.

Almost surely, 2^6424857600 is an apocalyptic number.

6424857600 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 6424857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889468160).

6424857600 is an abundant number, since it is smaller than the sum of its proper divisors (21354078720).

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

6424857600 is a wasteful number, since it uses less digits than its factorization.

6424857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 6424857600 is about 80155.2094376903. The cubic root of 6424857600 is about 1859.0361522586.

The spelling of 6424857600 in words is "six billion, four hundred twenty-four million, eight hundred fifty-seven thousand, six hundred".