8042674640 has 320 divisors, whose sum is σ = 25498368000. Its totient is φ = 2277918720.

The previous prime is 8042674579. The next prime is 8042674657. The reversal of 8042674640 is 464762408.

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, 5364611 + ... + 5366109.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 2^8042674640 is an apocalyptic number.

8042674640 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 8042674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184000).

8042674640 is an abundant number, since it is smaller than the sum of its proper divisors (17455693360).

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

8042674640 is a wasteful number, since it uses less digits than its factorization.

8042674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The square root of 8042674640 is about 89680.9602981592. The cubic root of 8042674640 is about 2003.5499153226.

The spelling of 8042674640 in words is "eight billion, forty-two million, six hundred seventy-four thousand, six hundred forty".