8004216640 has 336 divisors, whose sum is σ = 23746236480. Its totient is φ = 2554675200.

The previous prime is 8004216593. The next prime is 8004216667. The reversal of 8004216640 is 466124008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19960440 + ... + 19960840.

Almost surely, 2^8004216640 is an apocalyptic number.

8004216640 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 8004216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873118240).

8004216640 is an abundant number, since it is smaller than the sum of its proper divisors (15742019840).

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

8004216640 is a wasteful number, since it uses less digits than its factorization.

8004216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 8004216640 is about 89466.2877289541. The cubic root of 8004216640 is about 2000.3513249484.

The spelling of 8004216640 in words is "eight billion, four million, two hundred sixteen thousand, six hundred forty".