647649309844992 has 960 divisors, whose sum is σ = 2316777646740480. Its totient is φ = 156415789891584.

The previous prime is 647649309844991. The next prime is 647649309845063. The reversal of 647649309844992 is 299448903946746.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647649309844991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1494408109 + ... + 1494841427.

It is an arithmetic number, because the mean of its divisors is an integer number (2413310048688).

Almost surely, 2^{647649309844992} 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 647649309844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158388823370240).

647649309844992 is an abundant number, since it is smaller than the sum of its proper divisors (1669128336895488).

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

647649309844992 is a wasteful number, since it uses less digits than its factorization.

647649309844992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433431 (or 433398 counting only the distinct ones).

The product of its (nonzero) digits is 20316635136, while the sum is 84.

The spelling of 647649309844992 in words is "six hundred forty-seven trillion, six hundred forty-nine billion, three hundred nine million, eight hundred forty-four thousand, nine hundred ninety-two".