8014764240 has 320 divisors, whose sum is σ = 33407147520. Its totient is φ = 1724129280.

The previous prime is 8014764239. The next prime is 8014764283. The reversal of 8014764240 is 424674108.

8014764240 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 7 + 642 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8014764195 and 8014764204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241450 + ... + 272630.

It is an arithmetic number, because the mean of its divisors is an integer number (104397336).

Almost surely, 2^8014764240 is an apocalyptic number.

8014764240 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 8014764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703573760).

8014764240 is an abundant number, since it is smaller than the sum of its proper divisors (25392383280).

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

8014764240 is a wasteful number, since it uses less digits than its factorization.

8014764240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31227 (or 31215 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8014764240 is about 89525.2156657553. The cubic root of 8014764240 is about 2001.2295972237.

The spelling of 8014764240 in words is "eight billion, fourteen million, seven hundred sixty-four thousand, two hundred forty".