4617979714560 has 352 divisors, whose sum is σ = 15549035581440. Its totient is φ = 1167485304832.

The previous prime is 4617979714471. The next prime is 4617979714567. The reversal of 4617979714560 is 654179797164.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4617979714491 and 4617979714500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4617979714567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39862801 + ... + 39978479.

Almost surely, 2^{4617979714560} is an apocalyptic number.

4617979714560 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 4617979714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774517790720).

4617979714560 is an abundant number, since it is smaller than the sum of its proper divisors (10931055866880).

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

4617979714560 is a wasteful number, since it uses less digits than its factorization.

4617979714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115843 (or 115825 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 4617979714560 in words is "four trillion, six hundred seventeen billion, nine hundred seventy-nine million, seven hundred fourteen thousand, five hundred sixty".