736612864 has 60 divisors (see below), whose sum is σ = 1593897426. Its totient is φ = 339935232.

The previous prime is 736612831. The next prime is 736612867. The reversal of 736612864 is 468216637.

It can be written as a sum of positive squares in 3 ways, for example, as 587577600 + 149035264 = 24240^2 + 12208^2 .

It is a super-2 number, since 2×736612864² = 1085197022820564992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 736612864.

It is not an unprimeable number, because it can be changed into a prime (736612867) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82272 + ... + 90784.

Almost surely, 2^736612864 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 736612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796948713).

736612864 is an abundant number, since it is smaller than the sum of its proper divisors (857284562).

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

736612864 is an equidigital number, since it uses as much as digits as its factorization.

736612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8557 (or 8528 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 736612864 is about 27140.6128154837. The cubic root of 736612864 is about 903.1220232881.

The spelling of 736612864 in words is "seven hundred thirty-six million, six hundred twelve thousand, eight hundred sixty-four".