647028775008 has 864 divisors, whose sum is σ = 2475100293120. Its totient is φ = 162586828800.

The previous prime is 647028774983. The next prime is 647028775031. The reversal of 647028775008 is 800577820746.

It is a happy number.

647028775008 is a `hidden beast` number, since 6 + 47 + 0 + 28 + 77 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204172848 + ... + 204176016.

Almost surely, 2^647028775008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647028775008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237550146560).

647028775008 is an abundant number, since it is smaller than the sum of its proper divisors (1828071518112).

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

647028775008 is a wasteful number, since it uses less digits than its factorization.

647028775008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 647028775008 in words is "six hundred forty-seven billion, twenty-eight million, seven hundred seventy-five thousand, eight".