736940226528 has 480 divisors, whose sum is σ = 2535846445440. Its totient is φ = 207561968640.

The previous prime is 736940226497. The next prime is 736940226569. The reversal of 736940226528 is 825622049637.

736940226528 is a `hidden beast` number, since 7 + 3 + 6 + 94 + 0 + 2 + 26 + 528 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28698751 + ... + 28724417.

It is an arithmetic number, because the mean of its divisors is an integer number (5283013428).

Almost surely, 2^736940226528 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 736940226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267923222720).

736940226528 is an abundant number, since it is smaller than the sum of its proper divisors (1798906218912).

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

736940226528 is a wasteful number, since it uses less digits than its factorization.

736940226528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25772 (or 25755 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 736940226528 in words is "seven hundred thirty-six billion, nine hundred forty million, two hundred twenty-six thousand, five hundred twenty-eight".