4615837668960 has 1152 divisors, whose sum is σ = 18191853711360. Its totient is φ = 962927001600.

The previous prime is 4615837668929. The next prime is 4615837668997. The reversal of 4615837668960 is 698667385164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10709599945 + ... + 10709600375.

It is an arithmetic number, because the mean of its divisors is an integer number (15791539680).

Almost surely, 2^{4615837668960} is an apocalyptic number.

4615837668960 is a gapful number since it is divisible by the number (40) 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 4615837668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9095926855680).

4615837668960 is an abundant number, since it is smaller than the sum of its proper divisors (13576016042400).

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

4615837668960 is a wasteful number, since it uses less digits than its factorization.

4615837668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 4615837668960 in words is "four trillion, six hundred fifteen billion, eight hundred thirty-seven million, six hundred sixty-eight thousand, nine hundred sixty".