6372248400 has 480 divisors, whose sum is σ = 26766540800. Its totient is φ = 1409011200.

The previous prime is 6372248381. The next prime is 6372248411. The reversal of 6372248400 is 48422736.

6372248400 is a `hidden beast` number, since 6 + 3 + 7 + 2 + 248 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2342241 + ... + 2344959.

Almost surely, 2^6372248400 is an apocalyptic number.

6372248400 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 6372248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13383270400).

6372248400 is an abundant number, since it is smaller than the sum of its proper divisors (20394292400).

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

6372248400 is a wasteful number, since it uses less digits than its factorization.

6372248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6372248400 is about 79826.3640660152. The cubic root of 6372248400 is about 1853.9480719843.

The spelling of 6372248400 in words is "six billion, three hundred seventy-two million, two hundred forty-eight thousand, four hundred".