8420084352 has 128 divisors (see below), whose sum is σ = 25931664000. Its totient is φ = 2684639232.

The previous prime is 8420084347. The next prime is 8420084359. The reversal of 8420084352 is 2534800248.

It is a tau number, because it is divible by the number of its divisors (128).

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 not an unprimeable number, because it can be changed into a prime (8420084359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26524 + ... + 132452.

It is an arithmetic number, because the mean of its divisors is an integer number (202591125).

Almost surely, 2^8420084352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8420084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12965832000).

8420084352 is an abundant number, since it is smaller than the sum of its proper divisors (17511579648).

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

8420084352 is a wasteful number, since it uses less digits than its factorization.

8420084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105975 (or 105957 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8420084352 is about 91761.0176055170. The cubic root of 8420084352 is about 2034.4115560209.

The spelling of 8420084352 in words is "eight billion, four hundred twenty million, eighty-four thousand, three hundred fifty-two".