6440038974432 has 192 divisors, whose sum is σ = 21530503088640. Its totient is φ = 1834550581248.

The previous prime is 6440038974403. The next prime is 6440038974451. The reversal of 6440038974432 is 2344798300446.

6440038974432 is a `hidden beast` number, since 64 + 4 + 0 + 0 + 3 + 89 + 74 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458323 + ... + 3618029.

It is an arithmetic number, because the mean of its divisors is an integer number (112138036920).

Almost surely, 2^{6440038974432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440038974432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765251544320).

6440038974432 is an abundant number, since it is smaller than the sum of its proper divisors (15090464114208).

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

6440038974432 is a wasteful number, since it uses less digits than its factorization.

6440038974432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160070 (or 3160056 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 6440038974432 in words is "six trillion, four hundred forty billion, thirty-eight million, nine hundred seventy-four thousand, four hundred thirty-two".