647990969472000 has 4224 divisors, whose sum is σ = 3093202009497600. Its totient is φ = 131343482880000.

The previous prime is 647990969471977. The next prime is 647990969472001. The reversal of 647990969472000 is 274969099746.

647990969472000 is a `hidden beast` number, since 6 + 4 + 7 + 9 + 90 + 9 + 69 + 472 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 647990969472000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647990969472001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 98195324701 + ... + 98195331299.

It is an arithmetic number, because the mean of its divisors is an integer number (732292142400).

Almost surely, 2^{647990969472000} is an apocalyptic number.

647990969472000 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 647990969472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546601004748800).

647990969472000 is an abundant number, since it is smaller than the sum of its proper divisors (2445211040025600).

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

647990969472000 is a wasteful number, since it uses less digits than its factorization.

647990969472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 647990969472000 in words is "six hundred forty-seven trillion, nine hundred ninety billion, nine hundred sixty-nine million, four hundred seventy-two thousand".