6493334400 has 576 divisors, whose sum is σ = 27360153600. Its totient is φ = 1434931200.

The previous prime is 6493334389. The next prime is 6493334423. The reversal of 6493334400 is 44333946.

It is a happy number.

6493334400 is a `hidden beast` number, since 649 + 3 + 3 + 3 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6249081 + ... + 6250119.

Almost surely, 2^6493334400 is an apocalyptic number.

6493334400 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 6493334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680076800).

6493334400 is an abundant number, since it is smaller than the sum of its proper divisors (20866819200).

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

6493334400 is a wasteful number, since it uses less digits than its factorization.

6493334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 6493334400 is about 80581.2285833370. The cubic root of 6493334400 is about 1865.6174262127.

The spelling of 6493334400 in words is "six billion, four hundred ninety-three million, three hundred thirty-four thousand, four hundred".