721266264576 has 1440 divisors, whose sum is σ = 2715557068224. Its totient is φ = 181016985600.

The previous prime is 721266264571. The next prime is 721266264611. The reversal of 721266264576 is 675462662127.

721266264576 is a `hidden beast` number, since 7 + 2 + 1 + 2 + 6 + 6 + 2 + 64 + 576 = 666.

Its product of digits (10160640) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (721266264571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10765168095 + ... + 10765168161.

Almost surely, 2^721266264576 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 721266264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357778534112).

721266264576 is an abundant number, since it is smaller than the sum of its proper divisors (1994290803648).

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

721266264576 is a wasteful number, since it uses less digits than its factorization.

721266264576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 144 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 721266264576 in words is "seven hundred twenty-one billion, two hundred sixty-six million, two hundred sixty-four thousand, five hundred seventy-six".