647064000 has 672 divisors, whose sum is σ = 2719791360. Its totient is φ = 145152000.

The previous prime is 647063999. The next prime is 647064001. The reversal of 647064000 is 460746.

It is an interprime number because it is at equal distance from previous prime (647063999) and next prime (647064001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647064001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15047979 + ... + 15048021.

Almost surely, 2^647064000 is an apocalyptic number.

647064000 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 647064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359895680).

647064000 is an abundant number, since it is smaller than the sum of its proper divisors (2072727360).

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

647064000 is a wasteful number, since it uses less digits than its factorization.

647064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 647064000 is about 25437.4527026587. The cubic root of 647064000 is about 864.9328915382.

The spelling of 647064000 in words is "six hundred forty-seven million, sixty-four thousand".