8673920640 has 1280 divisors, whose sum is σ = 40307984640. Its totient is φ = 1725235200.

The previous prime is 8673920639. The next prime is 8673920657. The reversal of 8673920640 is 460293768.

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 159 ways as a sum of consecutive naturals, for example, 163658854 + ... + 163658906.

It is an arithmetic number, because the mean of its divisors is an integer number (31490613).

Almost surely, 2^8673920640 is an apocalyptic number.

8673920640 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 8673920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153992320).

8673920640 is an abundant number, since it is smaller than the sum of its proper divisors (31634064000).

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

8673920640 is a wasteful number, since it uses less digits than its factorization.

8673920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 8673920640 is about 93133.8855626673. The cubic root of 8673920640 is about 2054.6529756605.

The spelling of 8673920640 in words is "eight billion, six hundred seventy-three million, nine hundred twenty thousand, six hundred forty".