8046380160 has 1536 divisors, whose sum is σ = 38679379200. Its totient is φ = 1560674304.

The previous prime is 8046380149. The next prime is 8046380171. The reversal of 8046380160 is 610836408.

It is a happy number.

8046380160 is a `hidden beast` number, since 8 + 0 + 4 + 638 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8046380149) and next prime (8046380171).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187125099 + ... + 187125141.

Almost surely, 2^8046380160 is an apocalyptic number.

8046380160 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 8046380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339689600).

8046380160 is an abundant number, since it is smaller than the sum of its proper divisors (30632999040).

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

8046380160 is a wasteful number, since it uses less digits than its factorization.

8046380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8046380160 is about 89701.6173767229. The cubic root of 8046380160 is about 2003.8575681337.

The spelling of 8046380160 in words is "eight billion, forty-six million, three hundred eighty thousand, one hundred sixty".