726413585400 has 288 divisors, whose sum is σ = 2494349994240. Its totient is φ = 189367706880.

The previous prime is 726413585383. The next prime is 726413585437. The reversal of 726413585400 is 4585314627.

726413585400 is a `hidden beast` number, since 7 + 2 + 64 + 1 + 3 + 585 + 4 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 852299²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80111667 + ... + 80120733.

It is an arithmetic number, because the mean of its divisors is an integer number (8660937480).

Almost surely, 2^726413585400 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 726413585400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247174997120).

726413585400 is an abundant number, since it is smaller than the sum of its proper divisors (1767936408840).

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

726413585400 is a wasteful number, since it uses less digits than its factorization.

726413585400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10083 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 726413585400 in words is "seven hundred twenty-six billion, four hundred thirteen million, five hundred eighty-five thousand, four hundred".