8063677440 has 704 divisors, whose sum is σ = 35324997120. Its totient is φ = 1698693120.

The previous prime is 8063677429. The next prime is 8063677459. The reversal of 8063677440 is 447763608.

8063677440 is a `hidden beast` number, since 8 + 0 + 636 + 7 + 7 + 4 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 12579520 + ... + 12580160.

Almost surely, 2^8063677440 is an apocalyptic number.

8063677440 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 8063677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662498560).

8063677440 is an abundant number, since it is smaller than the sum of its proper divisors (27261319680).

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

8063677440 is a wasteful number, since it uses less digits than its factorization.

8063677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 8063677440 is about 89797.9812690686. The cubic root of 8063677440 is about 2005.2924360403.

The spelling of 8063677440 in words is "eight billion, sixty-three million, six hundred seventy-seven thousand, four hundred forty".