8492117760 has 360 divisors, whose sum is σ = 34730225376. Its totient is φ = 1940889600.

The previous prime is 8492117749. The next prime is 8492117801. The reversal of 8492117760 is 677112948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 719910 + ... + 731610.

Almost surely, 2^8492117760 is an apocalyptic number.

8492117760 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 8492117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365112688).

8492117760 is an abundant number, since it is smaller than the sum of its proper divisors (26238107616).

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

8492117760 is a wasteful number, since it uses less digits than its factorization.

8492117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8492117760 is about 92152.6872098693. The cubic root of 8492117760 is about 2040.1965208602.

The spelling of 8492117760 in words is "eight billion, four hundred ninety-two million, one hundred seventeen thousand, seven hundred sixty".