647084512920 has 256 divisors, whose sum is σ = 1981007280000. Its totient is φ = 169066561536.

The previous prime is 647084512891. The next prime is 647084512979. The reversal of 647084512920 is 29215480746.

647084512920 is a nontrivial binomial coefficient, being equal to C(1137616, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 647084512920.

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, 882788874 + ... + 882789606.

Almost surely, 2^647084512920 is an apocalyptic number.

647084512920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

647084512920 is the 1137615-th triangular number and also the 568808-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647084512920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990503640000).

647084512920 is an abundant number, since it is smaller than the sum of its proper divisors (1333922767080).

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

647084512920 is a wasteful number, since it uses less digits than its factorization.

With its successor (647084512921) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1502).

647084512920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 647084512920 in words is "six hundred forty-seven billion, eighty-four million, five hundred twelve thousand, nine hundred twenty".