8761359360 has 704 divisors, whose sum is σ = 33426691200. Its totient is φ = 1937768448.

The previous prime is 8761359359. The next prime is 8761359371. The reversal of 8761359360 is 639531678.

It is a happy number.

It is a super-2 number, since 2×8761359360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98442196 + ... + 98442284.

Almost surely, 2^8761359360 is an apocalyptic number.

8761359360 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 8761359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713345600).

8761359360 is an abundant number, since it is smaller than the sum of its proper divisors (24665331840).

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

8761359360 is a wasteful number, since it uses less digits than its factorization.

8761359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 8761359360 is about 93602.1333090224. The cubic root of 8761359360 is about 2061.5339817005.

The spelling of 8761359360 in words is "eight billion, seven hundred sixty-one million, three hundred fifty-nine thousand, three hundred sixty".