4727999865600 has 648 divisors, whose sum is σ = 18453903249600. Its totient is φ = 1145340518400.

The previous prime is 4727999865497. The next prime is 4727999865619. The reversal of 4727999865600 is 65689997274.

4727999865600 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 9 + 9 + 9 + 8 + 6 + 5 + 600 = 666.

It is a super-2 number, since 2×4727999865600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1608708931 + ... + 1608711869.

Almost surely, 2^{4727999865600} is an apocalyptic number.

4727999865600 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 4727999865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226951624800).

4727999865600 is an abundant number, since it is smaller than the sum of its proper divisors (13725903384000).

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

4727999865600 is a wasteful number, since it uses less digits than its factorization.

4727999865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 4727999865600 in words is "four trillion, seven hundred twenty-seven billion, nine hundred ninety-nine million, eight hundred sixty-five thousand, six hundred".