8288516640 has 96 divisors (see below), whose sum is σ = 26144729856. Its totient is φ = 2207232000.

The previous prime is 8288516591. The next prime is 8288516653. The reversal of 8288516640 is 466158828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8288516640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348984 + ... + 371976.

It is an arithmetic number, because the mean of its divisors is an integer number (272340936).

Almost surely, 2^8288516640 is an apocalyptic number.

8288516640 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 8288516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072364928).

8288516640 is an abundant number, since it is smaller than the sum of its proper divisors (17856213216).

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

8288516640 is a wasteful number, since it uses less digits than its factorization.

8288516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23762 (or 23754 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 8288516640 is about 91041.2908520085. The cubic root of 8288516640 is about 2023.7596745280.

The spelling of 8288516640 in words is "eight billion, two hundred eighty-eight million, five hundred sixteen thousand, six hundred forty".