8087264640 has 1024 divisors, whose sum is σ = 36465408000. Its totient is φ = 1648263168.

The previous prime is 8087264621. The next prime is 8087264651. The reversal of 8087264640 is 464627808.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58181691 + ... + 58181829.

It is an arithmetic number, because the mean of its divisors is an integer number (35610750).

Almost surely, 2^8087264640 is an apocalyptic number.

8087264640 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 8087264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704000).

8087264640 is an abundant number, since it is smaller than the sum of its proper divisors (28378143360).

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

8087264640 is a wasteful number, since it uses less digits than its factorization.

8087264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

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

The square root of 8087264640 is about 89929.2201678631. The cubic root of 8087264640 is about 2007.2457710334.

The spelling of 8087264640 in words is "eight billion, eighty-seven million, two hundred sixty-four thousand, six hundred forty".