647946432 has 448 divisors, whose sum is σ = 2422794240. Its totient is φ = 165445632.

The previous prime is 647946421. The next prime is 647946457. The reversal of 647946432 is 234649746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

Its product of digits (870912) is a multiple of the sum of its prime divisors (189).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4729468 + ... + 4729604.

Almost surely, 2^647946432 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 647946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211397120).

647946432 is an abundant number, since it is smaller than the sum of its proper divisors (1774847808).

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

647946432 is a wasteful number, since it uses less digits than its factorization.

647946432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 647946432 is about 25454.7919260795. The cubic root of 647946432 is about 865.3258963345.

The spelling of 647946432 in words is "six hundred forty-seven million, nine hundred forty-six thousand, four hundred thirty-two".