85684436604 has 192 divisors, whose sum is σ = 247335567360. Its totient is φ = 25474176000.

The previous prime is 85684436603. The next prime is 85684436657. The reversal of 85684436604 is 40663448658.

85684436604 is a `hidden beast` number, since 8 + 568 + 44 + 36 + 6 + 0 + 4 = 666.

It is a super-2 number, since 2×85684436604² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85684436603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39649284 + ... + 39651444.

It is an arithmetic number, because the mean of its divisors is an integer number (1288206080).

Almost surely, 2^85684436604 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 85684436604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123667783680).

85684436604 is an abundant number, since it is smaller than the sum of its proper divisors (161651130756).

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

85684436604 is a wasteful number, since it uses less digits than its factorization.

85684436604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 85684436604 in words is "eighty-five billion, six hundred eighty-four million, four hundred thirty-six thousand, six hundred four".