4717974159360 has 2560 divisors, whose sum is σ = 22289533516800. Its totient is φ = 928760463360.

The previous prime is 4717974159337. The next prime is 4717974159377. The reversal of 4717974159360 is 639514797174.

4717974159360 is a `hidden beast` number, since 4 + 7 + 1 + 79 + 7 + 415 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 248314429431 + ... + 248314429449.

It is an arithmetic number, because the mean of its divisors is an integer number (8706849030).

Almost surely, 2^{4717974159360} is an apocalyptic number.

4717974159360 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 4717974159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144766758400).

4717974159360 is an abundant number, since it is smaller than the sum of its proper divisors (17571559357440).

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

4717974159360 is an frugal number, since it uses more digits than its factorization.

4717974159360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 4717974159360 in words is "four trillion, seven hundred seventeen billion, nine hundred seventy-four million, one hundred fifty-nine thousand, three hundred sixty".