8820272440 has 64 divisors (see below), whose sum is σ = 23143608000. Its totient is φ = 3024088704.

The previous prime is 8820272411. The next prime is 8820272443. The reversal of 8820272440 is 442720288.

8820272440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 8820272440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8820272443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307719 + ... + 335158.

It is an arithmetic number, because the mean of its divisors is an integer number (361618875).

Almost surely, 2^8820272440 is an apocalyptic number.

It is an amenable number.

8820272440 is an abundant number, since it is smaller than the sum of its proper divisors (14323335560).

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

8820272440 is a wasteful number, since it uses less digits than its factorization.

8820272440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642909 (or 642891 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 8820272440 is about 93916.3055065519. The cubic root of 8820272440 is about 2066.1443814897.

It can be divided in two parts, 88 and 20272440, that added together give a triangular number (20272528 = T₆₃₆₇).

The spelling of 8820272440 in words is "eight billion, eight hundred twenty million, two hundred seventy-two thousand, four hundred forty".