647213760 has 224 divisors, whose sum is σ = 2301727680. Its totient is φ = 171196416.

The previous prime is 647213737. The next prime is 647213771. The reversal of 647213760 is 67312746.

647213760 is a `hidden beast` number, since 647 + 2 + 1 + 3 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×647213760² = 837771302266675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1494504 + ... + 1494936.

It is an arithmetic number, because the mean of its divisors is an integer number (10275570).

Almost surely, 2^647213760 is an apocalyptic number.

647213760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150863840).

647213760 is an abundant number, since it is smaller than the sum of its proper divisors (1654513920).

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

647213760 is a wasteful number, since it uses less digits than its factorization.

647213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 647213760 is about 25440.3962233295. The cubic root of 647213760 is about 864.9996146434. Note that the first 3 decimals are identical.

The spelling of 647213760 in words is "six hundred forty-seven million, two hundred thirteen thousand, seven hundred sixty".