8106557760 has 672 divisors, whose sum is σ = 33790079232. Its totient is φ = 1811496960.

The previous prime is 8106557749. The next prime is 8106557783. The reversal of 8106557760 is 677556018.

8106557760 is a `hidden beast` number, since 8 + 10 + 6 + 5 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28848820 + ... + 28849100.

It is an arithmetic number, because the mean of its divisors is an integer number (50282856).

Almost surely, 2^8106557760 is an apocalyptic number.

8106557760 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 8106557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895039616).

8106557760 is an abundant number, since it is smaller than the sum of its proper divisors (25683521472).

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

8106557760 is a wasteful number, since it uses less digits than its factorization.

8106557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 8106557760 is about 90036.4246291466. The cubic root of 8106557760 is about 2008.8406769682.

The spelling of 8106557760 in words is "eight billion, one hundred six million, five hundred fifty-seven thousand, seven hundred sixty".