726465607600 has 120 divisors (see below), whose sum is σ = 1852087173120. Its totient is φ = 273240802560.

The previous prime is 726465607583. The next prime is 726465607633. The reversal of 726465607600 is 6706564627.

726465607600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126384 + ... + 1211983.

It is an arithmetic number, because the mean of its divisors is an integer number (15434059776).

Almost surely, 2^726465607600 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 726465607600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926043586560).

726465607600 is an abundant number, since it is smaller than the sum of its proper divisors (1125621565520).

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

726465607600 is a wasteful number, since it uses less digits than its factorization.

726465607600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338467 (or 1338456 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 726465607600 in words is "seven hundred twenty-six billion, four hundred sixty-five million, six hundred seven thousand, six hundred".