647175427668 has 384 divisors, whose sum is σ = 2219420528640. Its totient is φ = 157888880640.

The previous prime is 647175427621. The next prime is 647175427693. The reversal of 647175427668 is 866724571746.

647175427668 is a `hidden beast` number, since 6 + 4 + 7 + 17 + 542 + 76 + 6 + 8 = 666.

647175427668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73933180 + ... + 73941932.

It is an arithmetic number, because the mean of its divisors is an integer number (5779740960).

Almost surely, 2^647175427668 is an apocalyptic number.

647175427668 is a gapful number since it is divisible by the number (68) 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 647175427668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109710264320).

647175427668 is an abundant number, since it is smaller than the sum of its proper divisors (1572245100972).

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

647175427668 is a wasteful number, since it uses less digits than its factorization.

647175427668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9316 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 647175427668 in words is "six hundred forty-seven billion, one hundred seventy-five million, four hundred twenty-seven thousand, six hundred sixty-eight".