8742021120 has 384 divisors, whose sum is σ = 35522323200. Its totient is φ = 1997733888.

The previous prime is 8742021097. The next prime is 8742021121. The reversal of 8742021120 is 211202478.

8742021120 is a `hidden beast` number, since 8 + 7 + 420 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8742021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1933102 + ... + 1937618.

It is an arithmetic number, because the mean of its divisors is an integer number (92506050).

Almost surely, 2^8742021120 is an apocalyptic number.

8742021120 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 8742021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761161600).

8742021120 is an abundant number, since it is smaller than the sum of its proper divisors (26780302080).

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

8742021120 is a wasteful number, since it uses less digits than its factorization.

8742021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8742021120 is about 93498.7760347696. The cubic root of 8742021120 is about 2060.0161119801.

Adding to 8742021120 its reverse (211202478), we get a palindrome (8953223598).

The spelling of 8742021120 in words is "eight billion, seven hundred forty-two million, twenty-one thousand, one hundred twenty".