726088134240 has 1920 divisors, whose sum is σ = 3319481088000. Its totient is φ = 145477140480.

The previous prime is 726088134197. The next prime is 726088134269. The reversal of 726088134240 is 42431880627.

It is a happy number.

726088134240 is a `hidden beast` number, since 7 + 2 + 608 + 8 + 1 + 34 + 2 + 4 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 2080481586 + ... + 2080481934.

It is an arithmetic number, because the mean of its divisors is an integer number (1728896400).

Almost surely, 2^726088134240 is an apocalyptic number.

726088134240 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 726088134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659740544000).

726088134240 is an abundant number, since it is smaller than the sum of its proper divisors (2593392953760).

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

726088134240 is a wasteful number, since it uses less digits than its factorization.

726088134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 726088134240 in words is "seven hundred twenty-six billion, eighty-eight million, one hundred thirty-four thousand, two hundred forty".