8763763680 has 576 divisors, whose sum is σ = 37576224000. Its totient is φ = 1896846336.

The previous prime is 8763763639. The next prime is 8763763711. The reversal of 8763763680 is 863673678.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4020831 + ... + 4023009.

It is an arithmetic number, because the mean of its divisors is an integer number (65236500).

Almost surely, 2^8763763680 is an apocalyptic number.

8763763680 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 8763763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788112000).

8763763680 is an abundant number, since it is smaller than the sum of its proper divisors (28812460320).

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

8763763680 is a wasteful number, since it uses less digits than its factorization.

8763763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 8763763680 is about 93614.9757250409. The cubic root of 8763763680 is about 2061.7225420159.

The spelling of 8763763680 in words is "eight billion, seven hundred sixty-three million, seven hundred sixty-three thousand, six hundred eighty".