8054691840 has 672 divisors, whose sum is σ = 31581491760. Its totient is φ = 1958805504.

The previous prime is 8054691829. The next prime is 8054691857. The reversal of 8054691840 is 481964508.

8054691840 is a `hidden beast` number, since 8 + 0 + 5 + 469 + 184 + 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 55 ways as a sum of consecutive naturals, for example, 97044439 + ... + 97044521.

Almost surely, 2^8054691840 is an apocalyptic number.

8054691840 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 8054691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15790745880).

8054691840 is an abundant number, since it is smaller than the sum of its proper divisors (23526799920).

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

8054691840 is an equidigital number, since it uses as much as digits as its factorization.

8054691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8054691840 is about 89747.9350180270. The cubic root of 8054691840 is about 2004.5473064994.

The spelling of 8054691840 in words is "eight billion, fifty-four million, six hundred ninety-one thousand, eight hundred forty".