726766449494400 has 960 divisors, whose sum is σ = 3066048495560160. Its totient is φ = 166064504832000.

The previous prime is 726766449494363. The next prime is 726766449494417. The reversal of 726766449494400 is 4494944667627.

726766449494400 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 6 + 6 + 4 + 494 + 94 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×726766449494400² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 5771543440 + ... + 5771669360.

Almost surely, 2^{726766449494400} is an apocalyptic number.

726766449494400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726766449494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533024247780080).

726766449494400 is an abundant number, since it is smaller than the sum of its proper divisors (2339282046065760).

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

726766449494400 is a wasteful number, since it uses less digits than its factorization.

726766449494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129145 (or 129119 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 72.

The spelling of 726766449494400 in words is "seven hundred twenty-six trillion, seven hundred sixty-six billion, four hundred forty-nine million, four hundred ninety-four thousand, four hundred".