726594631680 has 384 divisors, whose sum is σ = 2451889440000. Its totient is φ = 183185178624.

The previous prime is 726594631673. The next prime is 726594631709. The reversal of 726594631680 is 86136495627.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 726594631680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384644176 + ... + 384646064.

It is an arithmetic number, because the mean of its divisors is an integer number (6385128750).

It is a 1-persistent number, because it is pandigital, but 2⋅726594631680 = 1453189263360 is not.

Almost surely, 2^726594631680 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 726594631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225944720000).

726594631680 is an abundant number, since it is smaller than the sum of its proper divisors (1725294808320).

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

726594631680 is a wasteful number, since it uses less digits than its factorization.

726594631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 726594631680 in words is "seven hundred twenty-six billion, five hundred ninety-four million, six hundred thirty-one thousand, six hundred eighty".