646477560 has 192 divisors, whose sum is σ = 2210457600. Its totient is φ = 163544832.

The previous prime is 646477529. The next prime is 646477571. The reversal of 646477560 is 65774646.

It is a happy number.

646477560 is a `hidden beast` number, since 6 + 46 + 47 + 7 + 560 = 666.

646477560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349401 + ... + 1349879.

It is an arithmetic number, because the mean of its divisors is an integer number (11512800).

Almost surely, 2^646477560 is an apocalyptic number.

646477560 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 646477560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105228800).

646477560 is an abundant number, since it is smaller than the sum of its proper divisors (1563980040).

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

646477560 is a wasteful number, since it uses less digits than its factorization.

646477560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 675 counting only the distinct ones).

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

The square root of 646477560 is about 25425.9229920961. The cubic root of 646477560 is about 864.6715137053.

The spelling of 646477560 in words is "six hundred forty-six million, four hundred seventy-seven thousand, five hundred sixty".