8842014720 has 936 divisors, whose sum is σ = 39330560880. Its totient is φ = 1816657920.

The previous prime is 8842014719. The next prime is 8842014767. The reversal of 8842014720 is 274102488.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99348436 + ... + 99348524.

It is an arithmetic number, because the mean of its divisors is an integer number (42019830).

Almost surely, 2^8842014720 is an apocalyptic number.

8842014720 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 8842014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665280440).

8842014720 is an abundant number, since it is smaller than the sum of its proper divisors (30488546160).

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

8842014720 is a wasteful number, since it uses less digits than its factorization.

8842014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8842014720 is about 94031.9877488507. The cubic root of 8842014720 is about 2067.8406944791.

The spelling of 8842014720 in words is "eight billion, eight hundred forty-two million, fourteen thousand, seven hundred twenty".