8143280640 has 720 divisors, whose sum is σ = 32601913344. Its totient is φ = 1873428480.

The previous prime is 8143280627. The next prime is 8143280657. The reversal of 8143280640 is 460823418.

8143280640 is a `hidden beast` number, since 8 + 1 + 4 + 3 + 2 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 8143280595 and 8143280604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64120257 + ... + 64120383.

Almost surely, 2^8143280640 is an apocalyptic number.

8143280640 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 8143280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16300956672).

8143280640 is an abundant number, since it is smaller than the sum of its proper divisors (24458632704).

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

8143280640 is a wasteful number, since it uses less digits than its factorization.

8143280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8143280640 is about 90240.1276594842. The cubic root of 8143280640 is about 2011.8694718010.

The spelling of 8143280640 in words is "eight billion, one hundred forty-three million, two hundred eighty thousand, six hundred forty".