647055646272 has 280 divisors, whose sum is σ = 2193312977856. Its totient is φ = 184769620992.

The previous prime is 647055646267. The next prime is 647055646277. The reversal of 647055646272 is 272646550746.

647055646272 is a `hidden beast` number, since 6 + 4 + 7 + 0 + 5 + 5 + 6 + 4 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (647055646267) and next prime (647055646277).

It is a super-3 number, since 3×647055646272³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (647055646277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84656083 + ... + 84663725.

Almost surely, 2^647055646272 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 647055646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096656488928).

647055646272 is an abundant number, since it is smaller than the sum of its proper divisors (1546257331584).

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

647055646272 is a wasteful number, since it uses less digits than its factorization.

647055646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10007 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 647055646272 in words is "six hundred forty-seven billion, fifty-five million, six hundred forty-six thousand, two hundred seventy-two".