726024536064 has 240 divisors, whose sum is σ = 2156802580800. Its totient is φ = 241368956928.

The previous prime is 726024536063. The next prime is 726024536119. The reversal of 726024536064 is 460635420627.

726024536064 is a `hidden beast` number, since 7 + 2 + 602 + 4 + 5 + 36 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×726024536064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726024536063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185350234 + ... + 185354150.

It is an arithmetic number, because the mean of its divisors is an integer number (8986677420).

Almost surely, 2^726024536064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726024536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078401290400).

726024536064 is an abundant number, since it is smaller than the sum of its proper divisors (1430778044736).

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

726024536064 is an equidigital number, since it uses as much as digits as its factorization.

726024536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 726024536064 in words is "seven hundred twenty-six billion, twenty-four million, five hundred thirty-six thousand, sixty-four".