736126404832 has 96 divisors (see below), whose sum is σ = 1787950886400. Its totient is φ = 290519336448.

The previous prime is 736126404751. The next prime is 736126404833. The reversal of 736126404832 is 238404621637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736126404833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918469 + ... + 1521787.

It is an arithmetic number, because the mean of its divisors is an integer number (18624488400).

Almost surely, 2^736126404832 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 736126404832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893975443200).

736126404832 is an abundant number, since it is smaller than the sum of its proper divisors (1051824481568).

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

736126404832 is a wasteful number, since it uses less digits than its factorization.

736126404832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603768 (or 603760 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 736126404832 in words is "seven hundred thirty-six billion, one hundred twenty-six million, four hundred four thousand, eight hundred thirty-two".