726974506384 has 135 divisors (see below), whose sum is σ = 1686002965857. Its totient is φ = 302771613312.

The previous prime is 726974506373. The next prime is 726974506439. The reversal of 726974506384 is 483605479627.

The square root of 726974506384 is 852628.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 650506771600 + 76467734784 = 806540^2 + 276528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 883322197 + ... + 883323019.

Almost surely, 2^726974506384 is an apocalyptic number.

726974506384 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

726974506384 is the 852628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726974506384

726974506384 is an abundant number, since it is smaller than the sum of its proper divisors (959028459473).

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

726974506384 is an frugal number, since it uses more digits than its factorization.

726974506384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 726974506384 in words is "seven hundred twenty-six billion, nine hundred seventy-four million, five hundred six thousand, three hundred eighty-four".