8027864640 has 224 divisors, whose sum is σ = 28672657920. Its totient is φ = 2140577280.

The previous prime is 8027864633. The next prime is 8027864671. The reversal of 8027864640 is 464687208.

It is a super-2 number, since 2×8027864640² (a number of 21 digits) contains 22 as substring.

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

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, 694105 + ... + 705575.

Almost surely, 2^8027864640 is an apocalyptic number.

8027864640 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 8027864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336328960).

8027864640 is an abundant number, since it is smaller than the sum of its proper divisors (20644793280).

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

8027864640 is an equidigital number, since it uses as much as digits as its factorization.

8027864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8027864640 is about 89598.3517705544. The cubic root of 8027864640 is about 2002.3193625722.

The spelling of 8027864640 in words is "eight billion, twenty-seven million, eight hundred sixty-four thousand, six hundred forty".