6122726400 has 396 divisors, whose sum is σ = 23554223088. Its totient is φ = 1398620160.

The previous prime is 6122726381. The next prime is 6122726419. The reversal of 6122726400 is 46272216.

It is an interprime number because it is at equal distance from previous prime (6122726381) and next prime (6122726419).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3762387 + ... + 3764013.

Almost surely, 2^6122726400 is an apocalyptic number.

6122726400 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 6122726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777111544).

6122726400 is an abundant number, since it is smaller than the sum of its proper divisors (17431496688).

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

6122726400 is a wasteful number, since it uses less digits than its factorization.

6122726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6122726400 is about 78247.8523666944. The cubic root of 6122726400 is about 1829.4264379472.

Adding to 6122726400 its reverse (46272216), we get a palindrome (6168998616).

The spelling of 6122726400 in words is "six billion, one hundred twenty-two million, seven hundred twenty-six thousand, four hundred".