727782257664 has 1320 divisors, whose sum is σ = 2808271243008. Its totient is φ = 185608765440.

The previous prime is 727782257647. The next prime is 727782257729. The reversal of 727782257664 is 466752287727.

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 119 ways as a sum of consecutive naturals, for example, 3263597457 + ... + 3263597679.

Almost surely, 2^727782257664 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 727782257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404135621504).

727782257664 is an abundant number, since it is smaller than the sum of its proper divisors (2080488985344).

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

727782257664 is a wasteful number, since it uses less digits than its factorization.

727782257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 319 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 63.

The spelling of 727782257664 in words is "seven hundred twenty-seven billion, seven hundred eighty-two million, two hundred fifty-seven thousand, six hundred sixty-four".