726207634944 has 320 divisors, whose sum is σ = 2389318145280. Its totient is φ = 215908392960.

The previous prime is 726207634937. The next prime is 726207634961. The reversal of 726207634944 is 449436702627.

726207634944 is a `hidden beast` number, since 7 + 2 + 620 + 7 + 6 + 3 + 4 + 9 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8014339 + ... + 8104445.

It is an arithmetic number, because the mean of its divisors is an integer number (7466619204).

Almost surely, 2^726207634944 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 726207634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194659072640).

726207634944 is an abundant number, since it is smaller than the sum of its proper divisors (1663110510336).

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

726207634944 is a wasteful number, since it uses less digits than its factorization.

726207634944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90198 (or 90176 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 726207634944 in words is "seven hundred twenty-six billion, two hundred seven million, six hundred thirty-four thousand, nine hundred forty-four".