8288761662720 has 2592 divisors, whose sum is σ = 38002262538240. Its totient is φ = 1647378432000.

The previous prime is 8288761662689. The next prime is 8288761662721. The reversal of 8288761662720 is 272661678828.

8288761662720 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 7 + 616 + 6 + 2 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8288761662721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34393201800 + ... + 34393202040.

It is an arithmetic number, because the mean of its divisors is an integer number (14661366720).

Almost surely, 2^{8288761662720} is an apocalyptic number.

8288761662720 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 8288761662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19001131269120).

8288761662720 is an abundant number, since it is smaller than the sum of its proper divisors (29713500875520).

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

8288761662720 is a wasteful number, since it uses less digits than its factorization.

8288761662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 8288761662720 in words is "eight trillion, two hundred eighty-eight billion, seven hundred sixty-one million, six hundred sixty-two thousand, seven hundred twenty".