8761306498560 has 2400 divisors, whose sum is σ = 40770483950592. Its totient is φ = 1777217863680.

The previous prime is 8761306498531. The next prime is 8761306498579. The reversal of 8761306498560 is 658946031678.

8761306498560 is a `hidden beast` number, since 8 + 7 + 6 + 1 + 3 + 0 + 64 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4805981809 + ... + 4805983631.

Almost surely, 2^{8761306498560} is an apocalyptic number.

8761306498560 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 8761306498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20385241975296).

8761306498560 is an abundant number, since it is smaller than the sum of its proper divisors (32009177452032).

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

8761306498560 is a wasteful number, since it uses less digits than its factorization.

8761306498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 8761306498560 in words is "eight trillion, seven hundred sixty-one billion, three hundred six million, four hundred ninety-eight thousand, five hundred sixty".