736796736 has 315 divisors, whose sum is σ = 2449392231. Its totient is φ = 218889216.

The previous prime is 736796729. The next prime is 736796741. The reversal of 736796736 is 637697637.

The square root of 736796736 is 27144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 94478400 + 642318336 = 9720^2 + 25344^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6001128) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25406770 + ... + 25406798.

Almost surely, 2^736796736 is an apocalyptic number.

736796736 is the 27144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 736796736

736796736 is an abundant number, since it is smaller than the sum of its proper divisors (1712595495).

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

736796736 is a wasteful number, since it uses less digits than its factorization.

736796736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its digits is 6001128, while the sum is 54.

The cubic root of 736796736 is about 903.1971622770.

Subtracting from 736796736 its reverse (637697637), we obtain a palindrome (99099099).

The spelling of 736796736 in words is "seven hundred thirty-six million, seven hundred ninety-six thousand, seven hundred thirty-six".