736786158640 has 160 divisors (see below), whose sum is σ = 2049365975040. Its totient is φ = 241020057600.

The previous prime is 736786158631. The next prime is 736786158649. The reversal of 736786158640 is 46851687637.

It is an interprime number because it is at equal distance from previous prime (736786158631) and next prime (736786158649).

It is not an unprimeable number, because it can be changed into a prime (736786158649) 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 31 ways as a sum of consecutive naturals, for example, 933676 + ... + 1531444.

It is an arithmetic number, because the mean of its divisors is an integer number (12808537344).

Almost surely, 2^736786158640 is an apocalyptic number.

736786158640 is a gapful number since it is divisible by the number (70) 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 736786158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024682987520).

736786158640 is an abundant number, since it is smaller than the sum of its proper divisors (1312579816400).

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

736786158640 is a wasteful number, since it uses less digits than its factorization.

736786158640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597891 (or 597885 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 736786158640 in words is "seven hundred thirty-six billion, seven hundred eighty-six million, one hundred fifty-eight thousand, six hundred forty".