726510075552 has 240 divisors, whose sum is σ = 2172638426112. Its totient is φ = 238124759040.

The previous prime is 726510075479. The next prime is 726510075553. The reversal of 726510075552 is 255570015627.

726510075552 is a `hidden beast` number, since 7 + 26 + 5 + 1 + 0 + 0 + 75 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 726510075498 and 726510075507.

It is not an unprimeable number, because it can be changed into a prime (726510075553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37188027 + ... + 37207557.

Almost surely, 2^726510075552 is an apocalyptic number.

726510075552 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 726510075552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086319213056).

726510075552 is an abundant number, since it is smaller than the sum of its proper divisors (1446128350560).

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

726510075552 is a wasteful number, since it uses less digits than its factorization.

726510075552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19793 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 726510075552 in words is "seven hundred twenty-six billion, five hundred ten million, seventy-five thousand, five hundred fifty-two".