6374860800 has 864 divisors, whose sum is σ = 27013896000. Its totient is φ = 1324646400.

The previous prime is 6374860799. The next prime is 6374860861. The reversal of 6374860800 is 80684736.

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

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, 579532795 + ... + 579532805.

Almost surely, 2^6374860800 is an apocalyptic number.

6374860800 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 6374860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948000).

6374860800 is an abundant number, since it is smaller than the sum of its proper divisors (20639035200).

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

6374860800 is a wasteful number, since it uses less digits than its factorization.

6374860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 6374860800 is about 79842.7254043848. The cubic root of 6374860800 is about 1854.2013887591.

Multiplying 6374860800 by its sum of digits (42), we get a square (267744153600 = 517440²).

6374860800 divided by its sum of digits (42) gives a square (151782400 = 12320²).

The spelling of 6374860800 in words is "six billion, three hundred seventy-four million, eight hundred sixty thousand, eight hundred".