8152540704 has 768 divisors, whose sum is σ = 31585075200. Its totient is φ = 1984435200.

The previous prime is 8152540679. The next prime is 8152540769. The reversal of 8152540704 is 4070452518.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121679679 + ... + 121679745.

It is an arithmetic number, because the mean of its divisors is an integer number (41126400).

Almost surely, 2^8152540704 is an apocalyptic number.

8152540704 is a gapful number since it is divisible by the number (84) 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 8152540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792537600).

8152540704 is an abundant number, since it is smaller than the sum of its proper divisors (23432534496).

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

8152540704 is a wasteful number, since it uses less digits than its factorization.

8152540704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 8152540704 is about 90291.4209878214. The cubic root of 8152540704 is about 2012.6317764824.

The spelling of 8152540704 in words is "eight billion, one hundred fifty-two million, five hundred forty thousand, seven hundred four".