8006768640 has 576 divisors, whose sum is σ = 30801345120. Its totient is φ = 1911029760.

The previous prime is 8006768639. The next prime is 8006768641. The reversal of 8006768640 is 468676008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8006768639) and next prime (8006768641).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006768641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49121199 + ... + 49121361.

Almost surely, 2^8006768640 is an apocalyptic number.

8006768640 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 8006768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400672560).

8006768640 is an abundant number, since it is smaller than the sum of its proper divisors (22794576480).

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

8006768640 is a wasteful number, since it uses less digits than its factorization.

8006768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8006768640 is about 89480.5489478021. The cubic root of 8006768640 is about 2000.5638943300.

The spelling of 8006768640 in words is "eight billion, six million, seven hundred sixty-eight thousand, six hundred forty".