8542638720 has 1152 divisors, whose sum is σ = 39617061120. Its totient is φ = 1654456320.

The previous prime is 8542638701. The next prime is 8542638743. The reversal of 8542638720 is 278362458.

8542638720 is a `hidden beast` number, since 8 + 5 + 4 + 2 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 82938189 + ... + 82938291.

It is an arithmetic number, because the mean of its divisors is an integer number (34389810).

Almost surely, 2^8542638720 is an apocalyptic number.

8542638720 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 8542638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19808530560).

8542638720 is an abundant number, since it is smaller than the sum of its proper divisors (31074422400).

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

8542638720 is a wasteful number, since it uses less digits than its factorization.

8542638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8542638720 is about 92426.3962296486. The cubic root of 8542638720 is about 2044.2343421282.

The spelling of 8542638720 in words is "eight billion, five hundred forty-two million, six hundred thirty-eight thousand, seven hundred twenty".