6338736432 has 240 divisors, whose sum is σ = 21516405600. Its totient is φ = 1781015040.

The previous prime is 6338736427. The next prime is 6338736457. The reversal of 6338736432 is 2346378336.

6338736432 is a `hidden beast` number, since 633 + 8 + 7 + 3 + 6 + 4 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288794 + ... + 1293702.

It is an arithmetic number, because the mean of its divisors is an integer number (89651690).

Almost surely, 2^6338736432 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 6338736432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758202800).

6338736432 is an abundant number, since it is smaller than the sum of its proper divisors (15177669168).

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

6338736432 is a wasteful number, since it uses less digits than its factorization.

6338736432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4982 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 6338736432 is about 79616.1819732647. The cubic root of 6338736432 is about 1850.6923565847.

The spelling of 6338736432 in words is "six billion, three hundred thirty-eight million, seven hundred thirty-six thousand, four hundred thirty-two".