647626752 has 180 divisors, whose sum is σ = 1966596786. Its totient is φ = 212336640.

The previous prime is 647626703. The next prime is 647626787. The reversal of 647626752 is 257626746.

It can be written as a sum of positive squares in only one way, i.e., 642318336 + 5308416 = 25344^2 + 2304^2 .

It is a super-3 number, since 3×647626752³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 647626698 and 647626707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10616802 + ... + 10616862.

Almost surely, 2^647626752 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 647626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983298393).

647626752 is an abundant number, since it is smaller than the sum of its proper divisors (1318970034).

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

647626752 is an frugal number, since it uses more digits than its factorization.

647626752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 647626752 is about 25448.5117835994. The cubic root of 647626752 is about 865.1835631235.

The spelling of 647626752 in words is "six hundred forty-seven million, six hundred twenty-six thousand, seven hundred fifty-two".