8017936542 has 288 divisors, whose sum is σ = 23560883424. Its totient is φ = 1941811200.

The previous prime is 8017936529. The next prime is 8017936561. The reversal of 8017936542 is 2456397108.

8017936542 is a `hidden beast` number, since 8 + 0 + 1 + 79 + 36 + 542 = 666.

8017936542 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

8017936542 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28533442 + ... + 28533722.

It is an arithmetic number, because the mean of its divisors is an integer number (81808623).

It is a 1-persistent number, because it is pandigital, but 2⋅8017936542 = 16035873084 is not.

It is a vampire number, since it can be written as 82614 ⋅ 97053 (with its own digits).

Almost surely, 2^8017936542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8017936542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780441712).

8017936542 is an abundant number, since it is smaller than the sum of its proper divisors (15542946882).

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

8017936542 is a wasteful number, since it uses less digits than its factorization.

8017936542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8017936542 is about 89542.9312788006. The cubic root of 8017936542 is about 2001.4935961410.

The spelling of 8017936542 in words is "eight billion, seventeen million, nine hundred thirty-six thousand, five hundred forty-two".