727813247616 has 1200 divisors, whose sum is σ = 2751940232910. Its totient is φ = 190841204736.

The previous prime is 727813247611. The next prime is 727813247633. The reversal of 727813247616 is 616742318727.

727813247616 is a `hidden beast` number, since 7 + 2 + 7 + 8 + 13 + 2 + 4 + 7 + 616 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 533332247616 + 194481000000 = 730296^2 + 441000^2 .

It is a super-4 number, since 4×727813247616⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (727813247611) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 4207012906 + ... + 4207013078.

Almost surely, 2^727813247616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727813247616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375970116455).

727813247616 is an abundant number, since it is smaller than the sum of its proper divisors (2024126985294).

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

727813247616 is an equidigital number, since it uses as much as digits as its factorization.

727813247616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 198 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 727813247616 in words is "seven hundred twenty-seven billion, eight hundred thirteen million, two hundred forty-seven thousand, six hundred sixteen".