8057640960 has 576 divisors, whose sum is σ = 30586701600. Its totient is φ = 1953497088.

The previous prime is 8057640953. The next prime is 8057640961. The reversal of 8057640960 is 690467508.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8057640961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57968571 + ... + 57968709.

Almost surely, 2^8057640960 is an apocalyptic number.

8057640960 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 8057640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293350800).

8057640960 is an abundant number, since it is smaller than the sum of its proper divisors (22529060640).

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

8057640960 is a wasteful number, since it uses less digits than its factorization.

8057640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8057640960 is about 89764.3635303008. The cubic root of 8057640960 is about 2004.7919229012.

The spelling of 8057640960 in words is "eight billion, fifty-seven million, six hundred forty thousand, nine hundred sixty".