6390374400 has 252 divisors, whose sum is σ = 22896946332. Its totient is φ = 1703608320.

The previous prime is 6390374387. The next prime is 6390374401. The reversal of 6390374400 is 44730936.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6390374401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1841467 + ... + 1844933.

Almost surely, 2^6390374400 is an apocalyptic number.

6390374400 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 6390374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448473166).

6390374400 is an abundant number, since it is smaller than the sum of its proper divisors (16506571932).

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

6390374400 is a wasteful number, since it uses less digits than its factorization.

6390374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6390374400 is about 79939.8173628136. The cubic root of 6390374400 is about 1855.7042731364.

The spelling of 6390374400 in words is "six billion, three hundred ninety million, three hundred seventy-four thousand, four hundred".