726007064112 has 360 divisors, whose sum is σ = 2260763708112. Its totient is φ = 215681356800.

The previous prime is 726007064093. The next prime is 726007064141. The reversal of 726007064112 is 211460700627.

726007064112 is a `hidden beast` number, since 7 + 2 + 6 + 0 + 0 + 7 + 0 + 641 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4011088662 + ... + 4011088842.

Almost surely, 2^726007064112 is an apocalyptic number.

726007064112 is a gapful number since it is divisible by the number (72) 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 726007064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130381854056).

726007064112 is an abundant number, since it is smaller than the sum of its proper divisors (1534756644000).

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

726007064112 is a wasteful number, since it uses less digits than its factorization.

726007064112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 726007064112 its reverse (211460700627), we get a palindrome (937467764739).

The spelling of 726007064112 in words is "seven hundred twenty-six billion, seven million, sixty-four thousand, one hundred twelve".