8006264640 has 448 divisors, whose sum is σ = 31339779840. Its totient is φ = 1907712000.

The previous prime is 8006264633. The next prime is 8006264657. The reversal of 8006264640 is 464626008.

It is a happy number.

8006264640 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 2 + 6 + 4 + 640 = 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 = 8006264595 and 8006264604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5796750 + ... + 5798130.

Almost surely, 2^8006264640 is an apocalyptic number.

8006264640 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 8006264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15669889920).

8006264640 is an abundant number, since it is smaller than the sum of its proper divisors (23333515200).

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

8006264640 is a wasteful number, since it uses less digits than its factorization.

8006264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8006264640 is about 89477.7326489669. The cubic root of 8006264640 is about 2000.5219171227.

The spelling of 8006264640 in words is "eight billion, six million, two hundred sixty-four thousand, six hundred forty".