736365710340 has 288 divisors, whose sum is σ = 2550062432736. Its totient is φ = 170389094400.

The previous prime is 736365710279. The next prime is 736365710351. The reversal of 736365710340 is 43017563637.

It is a happy number.

736365710340 is a `hidden beast` number, since 7 + 3 + 6 + 36 + 571 + 0 + 3 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 212629809924 + 523735900416 = 461118^2 + 723696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33921490 + ... + 33943190.

It is an arithmetic number, because the mean of its divisors is an integer number (8854383447).

Almost surely, 2^736365710340 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 736365710340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275031216368).

736365710340 is an abundant number, since it is smaller than the sum of its proper divisors (1813696722396).

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

736365710340 is a wasteful number, since it uses less digits than its factorization.

736365710340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22599 (or 22594 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 736365710340 in words is "seven hundred thirty-six billion, three hundred sixty-five million, seven hundred ten thousand, three hundred forty".