6284642400 has 432 divisors, whose sum is σ = 23525244288. Its totient is φ = 1575936000.

The previous prime is 6284642327. The next prime is 6284642443. The reversal of 6284642400 is 42464826.

It is a happy number.

6284642400 is a `hidden beast` number, since 6 + 2 + 8 + 4 + 642 + 4 + 0 + 0 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8258020 + ... + 8258780.

It is an arithmetic number, because the mean of its divisors is an integer number (54456584).

Almost surely, 2^6284642400 is an apocalyptic number.

6284642400 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 6284642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762622144).

6284642400 is an abundant number, since it is smaller than the sum of its proper divisors (17240601888).

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

6284642400 is a wasteful number, since it uses less digits than its factorization.

6284642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6284642400 is about 79275.7365150271. The cubic root of 6284642400 is about 1845.4127791697.

The spelling of 6284642400 in words is "six billion, two hundred eighty-four million, six hundred forty-two thousand, four hundred".