6407424000 has 576 divisors, whose sum is σ = 24183169920. Its totient is φ = 1692057600.

The previous prime is 6407423999. The next prime is 6407424011. The reversal of 6407424000 is 4247046.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62207949 + ... + 62208051.

It is an arithmetic number, because the mean of its divisors is an integer number (41984670).

Almost surely, 2^6407424000 is an apocalyptic number.

6407424000 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 6407424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091584960).

6407424000 is an abundant number, since it is smaller than the sum of its proper divisors (17775745920).

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

6407424000 is an equidigital number, since it uses as much as digits as its factorization.

6407424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6407424000 is about 80046.3865517988. The cubic root of 6407424000 is about 1857.3531551092.

The spelling of 6407424000 in words is "six billion, four hundred seven million, four hundred twenty-four thousand".