8178985920 has 448 divisors, whose sum is σ = 30870144000. Its totient is φ = 1833431040.

The previous prime is 8178985907. The next prime is 8178985931. The reversal of 8178985920 is 295898718.

It is a tau number, because it is divible by the number of its divisors (448).

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, 19427310 + ... + 19427730.

Almost surely, 2^8178985920 is an apocalyptic number.

8178985920 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 8178985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435072000).

8178985920 is an abundant number, since it is smaller than the sum of its proper divisors (22691158080).

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

8178985920 is a wasteful number, since it uses less digits than its factorization.

8178985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The square root of 8178985920 is about 90437.7461019457. The cubic root of 8178985920 is about 2014.8056196890.

The spelling of 8178985920 in words is "eight billion, one hundred seventy-eight million, nine hundred eighty-five thousand, nine hundred twenty".