6349886400 has 756 divisors, whose sum is σ = 25540137896. Its totient is φ = 1371955200.

The previous prime is 6349886399. The next prime is 6349886419. The reversal of 6349886400 is 46889436.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6349886400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 218961586 + ... + 218961614.

Almost surely, 2^6349886400 is an apocalyptic number.

6349886400 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 6349886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12770068948).

6349886400 is an abundant number, since it is smaller than the sum of its proper divisors (19190251496).

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

6349886400 is a wasteful number, since it uses less digits than its factorization.

6349886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 6349886400 is about 79686.1744595636. The cubic root of 6349886400 is about 1851.7768562775.

The spelling of 6349886400 in words is "six billion, three hundred forty-nine million, eight hundred eighty-six thousand, four hundred".