8540038080 has 504 divisors, whose sum is σ = 34803027168. Its totient is φ = 1881501696.

The previous prime is 8540038049. The next prime is 8540038081. The reversal of 8540038080 is 808300458.

8540038080 is a `hidden beast` number, since 8 + 540 + 0 + 38 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8540038081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79813387 + ... + 79813493.

Almost surely, 2^8540038080 is an apocalyptic number.

8540038080 is a gapful number since it is divisible by the number (80) 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 8540038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17401513584).

8540038080 is an abundant number, since it is smaller than the sum of its proper divisors (26262989088).

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

8540038080 is a wasteful number, since it uses less digits than its factorization.

8540038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8540038080 is about 92412.3264505336. The cubic root of 8540038080 is about 2044.0268786286.

The spelling of 8540038080 in words is "eight billion, five hundred forty million, thirty-eight thousand, eighty".