6403244058624 has 288 divisors, whose sum is σ = 20040563743200. Its totient is φ = 1812704624640.

The previous prime is 6403244058551. The next prime is 6403244058643. The reversal of 6403244058624 is 4268504423046.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32717539 + ... + 32912669.

It is an arithmetic number, because the mean of its divisors is an integer number (69585290775).

Almost surely, 2^{6403244058624} is an apocalyptic number.

6403244058624 is a gapful number since it is divisible by the number (64) 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 6403244058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020281871600).

6403244058624 is an abundant number, since it is smaller than the sum of its proper divisors (13637319684576).

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

6403244058624 is a wasteful number, since it uses less digits than its factorization.

6403244058624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195279 (or 195252 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 6403244058624 in words is "six trillion, four hundred three billion, two hundred forty-four million, fifty-eight thousand, six hundred twenty-four".