736864128 has 640 divisors, whose sum is σ = 2985776640. Its totient is φ = 174182400.

The previous prime is 736864109. The next prime is 736864129. The reversal of 736864128 is 821468637.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736864129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10378333 + ... + 10378403.

It is an arithmetic number, because the mean of its divisors is an integer number (4665276).

Almost surely, 2^736864128 is an apocalyptic number.

736864128 is a gapful number since it is divisible by the number (78) 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 736864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492888320).

736864128 is an abundant number, since it is smaller than the sum of its proper divisors (2248912512).

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

736864128 is a wasteful number, since it uses less digits than its factorization.

736864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 736864128 is about 27145.2413509256. The cubic root of 736864128 is about 903.2246987759.

The spelling of 736864128 in words is "seven hundred thirty-six million, eight hundred sixty-four thousand, one hundred twenty-eight".