647999295408 has 320 divisors, whose sum is σ = 1928647987200. Its totient is φ = 208176998400.

The previous prime is 647999295401. The next prime is 647999295553. The reversal of 647999295408 is 804592999746.

647999295408 is a `hidden beast` number, since 6 + 4 + 79 + 9 + 9 + 2 + 9 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (647999295401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067543841 + ... + 1067544447.

It is an arithmetic number, because the mean of its divisors is an integer number (6027024960).

Almost surely, 2^647999295408 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 647999295408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964323993600).

647999295408 is an abundant number, since it is smaller than the sum of its proper divisors (1280648691792).

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

647999295408 is a wasteful number, since it uses less digits than its factorization.

647999295408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 647999295408 in words is "six hundred forty-seven billion, nine hundred ninety-nine million, two hundred ninety-five thousand, four hundred eight".