6242826400 has 72 divisors (see below), whose sum is σ = 15281889084. Its totient is φ = 2490316800.

The previous prime is 6242826397. The next prime is 6242826431. The reversal of 6242826400 is 46282426.

It can be written as a sum of positive squares in 6 ways, for example, as 3074037136 + 3168789264 = 55444^2 + 56292^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287940 + ... + 308860.

Almost surely, 2^6242826400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6242826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640944542).

6242826400 is an abundant number, since it is smaller than the sum of its proper divisors (9039062684).

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

6242826400 is a wasteful number, since it uses less digits than its factorization.

6242826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21314 (or 21301 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 6242826400 is about 79011.5586480864. The cubic root of 6242826400 is about 1841.3107390305.

The spelling of 6242826400 in words is "six billion, two hundred forty-two million, eight hundred twenty-six thousand, four hundred".