726545698567920 has 3600 divisors, whose sum is σ = 3344352755724288. Its totient is φ = 145496736000000.

The previous prime is 726545698567919. The next prime is 726545698567921. The reversal of 726545698567920 is 29765896545627.

726545698567920 is a `hidden beast` number, since 7 + 2 + 6 + 5 + 45 + 6 + 9 + 8 + 567 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (726545698567919) and next prime (726545698567921).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 726545698567920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726545698567921) 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 719 ways as a sum of consecutive naturals, for example, 322765746795 + ... + 322765749045.

Almost surely, 2^{726545698567920} is an apocalyptic number.

726545698567920 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 726545698567920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672176377862144).

726545698567920 is an abundant number, since it is smaller than the sum of its proper divisors (2617807057156368).

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

726545698567920 is a wasteful number, since it uses less digits than its factorization.

726545698567920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 13716864000, while the sum is 81.

The spelling of 726545698567920 in words is "seven hundred twenty-six trillion, five hundred forty-five billion, six hundred ninety-eight million, five hundred sixty-seven thousand, nine hundred twenty".