83684406537 has 24 divisors (see below), whose sum is σ = 123278625288. Its totient is φ = 54687628800.

The previous prime is 83684406469. The next prime is 83684406587. The reversal of 83684406537 is 73560448638.

83684406537 is a `hidden beast` number, since 8 + 3 + 68 + 4 + 40 + 6 + 537 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37316966976 + 46367439561 = 193176^2 + 215331^2 .

It is not a de Polignac number, because 83684406537 - 2¹² = 83684402441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83684406587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99264 + ... + 420977.

It is an arithmetic number, because the mean of its divisors is an integer number (5136609387).

Almost surely, 2^83684406537 is an apocalyptic number.

It is an amenable number.

83684406537 is a deficient number, since it is larger than the sum of its proper divisors (39594218751).

83684406537 is a wasteful number, since it uses less digits than its factorization.

83684406537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520601 (or 520598 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 83684406537 in words is "eighty-three billion, six hundred eighty-four million, four hundred six thousand, five hundred thirty-seven".