736838627427 has 48 divisors (see below), whose sum is σ = 1240392890880. Its totient is φ = 412800796800.

The previous prime is 736838627387. The next prime is 736838627527. The reversal of 736838627427 is 724726838637.

736838627427 is a `hidden beast` number, since 7 + 36 + 83 + 86 + 27 + 427 = 666.

It is not a de Polignac number, because 736838627427 - 2¹⁸ = 736838365283 is a prime.

It is a super-3 number, since 3×736838627427³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (736838627227) 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 47 ways as a sum of consecutive naturals, for example, 340527 + ... + 1260807.

It is an arithmetic number, because the mean of its divisors is an integer number (25841518560).

Almost surely, 2^736838627427 is an apocalyptic number.

736838627427 is a deficient number, since it is larger than the sum of its proper divisors (503554263453).

736838627427 is a wasteful number, since it uses less digits than its factorization.

736838627427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920544 (or 920541 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 736838627427 in words is "seven hundred thirty-six billion, eight hundred thirty-eight million, six hundred twenty-seven thousand, four hundred twenty-seven".