726893743680 has 672 divisors, whose sum is σ = 2825230507008. Its totient is φ = 170300620800.

The previous prime is 726893743669. The next prime is 726893743747. The reversal of 726893743680 is 86347398627.

726893743680 is a `hidden beast` number, since 7 + 268 + 9 + 3 + 7 + 4 + 368 + 0 = 666.

It is a super-2 number, since 2×726893743680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70793907 + ... + 70804173.

It is an arithmetic number, because the mean of its divisors is an integer number (4204212064).

Almost surely, 2^726893743680 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 726893743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412615253504).

726893743680 is an abundant number, since it is smaller than the sum of its proper divisors (2098336763328).

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

726893743680 is a wasteful number, since it uses less digits than its factorization.

726893743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 726893743680 in words is "seven hundred twenty-six billion, eight hundred ninety-three million, seven hundred forty-three thousand, six hundred eighty".