647616053760 has 640 divisors, whose sum is σ = 2271162136320. Its totient is φ = 156474802176.

The previous prime is 647616053753. The next prime is 647616053783. The reversal of 647616053760 is 67350616746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1545622831 + ... + 1545623249.

It is an arithmetic number, because the mean of its divisors is an integer number (3548690838).

Almost surely, 2^647616053760 is an apocalyptic number.

647616053760 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 647616053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135581068160).

647616053760 is an abundant number, since it is smaller than the sum of its proper divisors (1623546082560).

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

647616053760 is a wasteful number, since it uses less digits than its factorization.

647616053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 647616053760 in words is "six hundred forty-seven billion, six hundred sixteen million, fifty-three thousand, seven hundred sixty".