8024072640 has 224 divisors, whose sum is σ = 26489436480. Its totient is φ = 2055438336.

The previous prime is 8024072521. The next prime is 8024072671. The reversal of 8024072640 is 462704208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6486102 + ... + 6487338.

Almost surely, 2^8024072640 is an apocalyptic number.

8024072640 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 8024072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244718240).

8024072640 is an abundant number, since it is smaller than the sum of its proper divisors (18465363840).

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

8024072640 is a wasteful number, since it uses less digits than its factorization.

8024072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 8024072640 is about 89577.1881675240. The cubic root of 8024072640 is about 2002.0040445653.

Adding to 8024072640 its reverse (462704208), we get a palindrome (8486776848).

The spelling of 8024072640 in words is "eight billion, twenty-four million, seventy-two thousand, six hundred forty".