4092871680 has 440 divisors, whose sum is σ = 14980109760. Its totient is φ = 1068318720.

The previous prime is 4092871663. The next prime is 4092871687. The reversal of 4092871680 is 861782904.

4092871680 is a `hidden beast` number, since 409 + 2 + 87 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092871687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29445051 + ... + 29445189.

It is an arithmetic number, because the mean of its divisors is an integer number (34045704).

Almost surely, 2^4092871680 is an apocalyptic number.

4092871680 is a gapful number since it is divisible by the number (40) 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 4092871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490054880).

4092871680 is an abundant number, since it is smaller than the sum of its proper divisors (10887238080).

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

4092871680 is a wasteful number, since it uses less digits than its factorization.

4092871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4092871680 is about 63975.5553317046. Note that the first 3 decimals coincide. The cubic root of 4092871680 is about 1599.5925629224.

The spelling of 4092871680 in words is "four billion, ninety-two million, eight hundred seventy-one thousand, six hundred eighty".