6409638601344 has 512 divisors, whose sum is σ = 21925849824000. Its totient is φ = 1824641925120.

The previous prime is 6409638601319. The next prime is 6409638601357. The reversal of 6409638601344 is 4431068369046.

It is a happy number.

6409638601344 is a `hidden beast` number, since 6 + 40 + 96 + 386 + 0 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 40712602 + ... + 40869734.

Almost surely, 2^{6409638601344} is an apocalyptic number.

6409638601344 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 6409638601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10962924912000).

6409638601344 is an abundant number, since it is smaller than the sum of its proper divisors (15516211222656).

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

6409638601344 is a wasteful number, since it uses less digits than its factorization.

6409638601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157233 (or 157215 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 6409638601344 in words is "six trillion, four hundred nine billion, six hundred thirty-eight million, six hundred one thousand, three hundred forty-four".