727796019456 has 864 divisors, whose sum is σ = 2516479593600. Its totient is φ = 206928691200.

The previous prime is 727796019449. The next prime is 727796019463. The reversal of 727796019456 is 654910697727.

It is an interprime number because it is at equal distance from previous prime (727796019449) and next prime (727796019463).

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 727796019393 and 727796019402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897405291 + ... + 897406101.

Almost surely, 2^727796019456 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 727796019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258239796800).

727796019456 is an abundant number, since it is smaller than the sum of its proper divisors (1788683574144).

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

727796019456 is a wasteful number, since it uses less digits than its factorization.

727796019456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 893 counting only the distinct ones).

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

The spelling of 727796019456 in words is "seven hundred twenty-seven billion, seven hundred ninety-six million, nineteen thousand, four hundred fifty-six".