727931492064 has 720 divisors, whose sum is σ = 2532303341568. Its totient is φ = 205670658816.

The previous prime is 727931492063. The next prime is 727931492111. The reversal of 727931492064 is 460294139727.

727931492064 is a `hidden beast` number, since 7 + 2 + 7 + 93 + 1 + 492 + 0 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 727931492064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727931492063) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2371112199 + ... + 2371112505.

Almost surely, 2^727931492064 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 727931492064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266151670784).

727931492064 is an abundant number, since it is smaller than the sum of its proper divisors (1804371849504).

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

727931492064 is an equidigital number, since it uses as much as digits as its factorization.

727931492064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 727931492064 in words is "seven hundred twenty-seven billion, nine hundred thirty-one million, four hundred ninety-two thousand, sixty-four".