647228050560 has 3072 divisors, whose sum is σ = 3143702016000. Its totient is φ = 123404746752.

The previous prime is 647228050559. The next prime is 647228050649. The reversal of 647228050560 is 65050822746.

647228050560 is a `hidden beast` number, since 6 + 4 + 7 + 2 + 2 + 80 + 5 + 0 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7797928279 + ... + 7797928361.

It is an arithmetic number, because the mean of its divisors is an integer number (1023340500).

Almost surely, 2^647228050560 is an apocalyptic number.

647228050560 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 647228050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571851008000).

647228050560 is an abundant number, since it is smaller than the sum of its proper divisors (2496473965440).

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

647228050560 is a wasteful number, since it uses less digits than its factorization.

647228050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 647228050560 in words is "six hundred forty-seven billion, two hundred twenty-eight million, fifty thousand, five hundred sixty".