736687813761 has 20 divisors (see below), whose sum is σ = 1130227087572. Its totient is φ = 477851552928.

The previous prime is 736687813759. The next prime is 736687813783. The reversal of 736687813761 is 167318786637.

736687813761 is a `hidden beast` number, since 7 + 366 + 87 + 8 + 137 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 576431711361 + 160256102400 = 759231^2 + 400320^2 .

It is not a de Polignac number, because 736687813761 - 2¹ = 736687813759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (736687813361) 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 19 ways as a sum of consecutive naturals, for example, 122901210 + ... + 122907203.

Almost surely, 2^736687813761 is an apocalyptic number.

It is an amenable number.

736687813761 is a deficient number, since it is larger than the sum of its proper divisors (393539273811).

736687813761 is a wasteful number, since it uses less digits than its factorization.

736687813761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245808462 (or 245808453 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 736687813761 in words is "seven hundred thirty-six billion, six hundred eighty-seven million, eight hundred thirteen thousand, seven hundred sixty-one".