647878338432 has 512 divisors, whose sum is σ = 2195378640000. Its totient is φ = 186328940544.

The previous prime is 647878338427. The next prime is 647878338463. The reversal of 647878338432 is 234833878746.

647878338432 is a `hidden beast` number, since 6 + 47 + 87 + 83 + 3 + 8 + 432 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 647878338432.

It is a congruent number.

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, 113799778 + ... + 113805470.

Almost surely, 2^647878338432 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 647878338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097689320000).

647878338432 is an abundant number, since it is smaller than the sum of its proper divisors (1547500301568).

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

647878338432 is a wasteful number, since it uses less digits than its factorization.

647878338432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5877 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

It can be divided in two parts, 647878 and 338432, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 647878338432 in words is "six hundred forty-seven billion, eight hundred seventy-eight million, three hundred thirty-eight thousand, four hundred thirty-two".