8151736320 has 896 divisors, whose sum is σ = 36110753280. Its totient is φ = 1719926784.

The previous prime is 8151736303. The next prime is 8151736321. The reversal of 8151736320 is 236371518.

8151736320 is a `hidden beast` number, since 8 + 1 + 5 + 17 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8151736321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627056634 + ... + 627056646.

It is an arithmetic number, because the mean of its divisors is an integer number (40302180).

Almost surely, 2^8151736320 is an apocalyptic number.

8151736320 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 8151736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18055376640).

8151736320 is an abundant number, since it is smaller than the sum of its proper divisors (27959016960).

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

8151736320 is an frugal number, since it uses more digits than its factorization.

8151736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8151736320 is about 90286.9665012620. The cubic root of 8151736320 is about 2012.5655810837.

The spelling of 8151736320 in words is "eight billion, one hundred fifty-one million, seven hundred thirty-six thousand, three hundred twenty".