736742135340 has 216 divisors, whose sum is σ = 2375839982880. Its totient is φ = 184763524608.

The previous prime is 736742135317. The next prime is 736742135377. The reversal of 736742135340 is 43531247637.

736742135340 is a `hidden beast` number, since 7 + 3 + 67 + 42 + 13 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8860881 + ... + 8943639.

It is an arithmetic number, because the mean of its divisors is an integer number (10999259180).

Almost surely, 2^736742135340 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 736742135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187919991440).

736742135340 is an abundant number, since it is smaller than the sum of its proper divisors (1639097847540).

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

736742135340 is a wasteful number, since it uses less digits than its factorization.

736742135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82949 (or 82925 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 736742135340 in words is "seven hundred thirty-six billion, seven hundred forty-two million, one hundred thirty-five thousand, three hundred forty".