7868242368 has 112 divisors (see below), whose sum is σ = 26435669760. Its totient is φ = 2248065792.

The previous prime is 7868242367. The next prime is 7868242423. The reversal of 7868242368 is 8632428687.

7868242368 is a `hidden beast` number, since 7 + 86 + 82 + 423 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7868242367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313146 + ... + 337337.

Almost surely, 2^7868242368 is an apocalyptic number.

It is an amenable number.

7868242368 is an abundant number, since it is smaller than the sum of its proper divisors (18567427392).

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

7868242368 is a wasteful number, since it uses less digits than its factorization.

7868242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650511 (or 650495 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 7868242368 is about 88703.1136319352. The cubic root of 7868242368 is about 1988.9593616361.

The spelling of 7868242368 in words is "seven billion, eight hundred sixty-eight million, two hundred forty-two thousand, three hundred sixty-eight".