6240326400 has 1296 divisors, whose sum is σ = 29471863680. Its totient is φ = 1277337600.

The previous prime is 6240326399. The next prime is 6240326429. The reversal of 6240326400 is 46230426.

6240326400 is a `hidden beast` number, since 624 + 0 + 32 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 93139167 + ... + 93139233.

Almost surely, 2^6240326400 is an apocalyptic number.

6240326400 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 6240326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735931840).

6240326400 is an abundant number, since it is smaller than the sum of its proper divisors (23231537280).

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

6240326400 is a wasteful number, since it uses less digits than its factorization.

6240326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6240326400 is about 78995.7365938188. The cubic root of 6240326400 is about 1841.0649160029.

Adding to 6240326400 its reverse (46230426), we get a palindrome (6286556826).

The spelling of 6240326400 in words is "six billion, two hundred forty million, three hundred twenty-six thousand, four hundred".