8064849240 has 768 divisors, whose sum is σ = 33022080000. Its totient is φ = 1767951360.

The previous prime is 8064849229. The next prime is 8064849259. The reversal of 8064849240 is 429484608.

8064849240 is a `hidden beast` number, since 80 + 6 + 48 + 492 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 136692331 + ... + 136692389.

It is an arithmetic number, because the mean of its divisors is an integer number (42997500).

Almost surely, 2^8064849240 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 8064849240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040000).

8064849240 is an abundant number, since it is smaller than the sum of its proper divisors (24957230760).

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

8064849240 is a wasteful number, since it uses less digits than its factorization.

8064849240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8064849240 is about 89804.5056776106. The cubic root of 8064849240 is about 2005.3895665733.

The spelling of 8064849240 in words is "eight billion, sixty-four million, eight hundred forty-nine thousand, two hundred forty".