727984692864 has 960 divisors, whose sum is σ = 2705341716000. Its totient is φ = 191540920320.

The previous prime is 727984692839. The next prime is 727984692871. The reversal of 727984692864 is 468296489727.

727984692864 is a `hidden beast` number, since 72 + 7 + 98 + 469 + 2 + 8 + 6 + 4 = 666.

727984692864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×727984692864⁴ (a number of 49 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 727984692792 and 727984692801.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 428477487 + ... + 428479185.

Almost surely, 2^727984692864 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 727984692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352670858000).

727984692864 is an abundant number, since it is smaller than the sum of its proper divisors (1977357023136).

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

727984692864 is a wasteful number, since it uses less digits than its factorization.

727984692864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1745 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 727984692864 in words is "seven hundred twenty-seven billion, nine hundred eighty-four million, six hundred ninety-two thousand, eight hundred sixty-four".