726274348800 has 3456 divisors, whose sum is σ = 3531805949952. Its totient is φ = 126517248000.

The previous prime is 726274348783. The next prime is 726274348829. The reversal of 726274348800 is 8843472627.

It is a super-2 number, since 2×726274348800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13703289574 + ... + 13703289626.

It is an arithmetic number, because the mean of its divisors is an integer number (1021934592).

Almost surely, 2^726274348800 is an apocalyptic number.

726274348800 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 726274348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765902974976).

726274348800 is an abundant number, since it is smaller than the sum of its proper divisors (2805531601152).

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

726274348800 is a wasteful number, since it uses less digits than its factorization.

726274348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 726274348800 in words is "seven hundred twenty-six billion, two hundred seventy-four million, three hundred forty-eight thousand, eight hundred".