7865383968 has 288 divisors, whose sum is σ = 25305920640. Its totient is φ = 2299207680.

The previous prime is 7865383961. The next prime is 7865384003. The reversal of 7865383968 is 8693835687.

7865383968 is a `hidden beast` number, since 7 + 8 + 6 + 538 + 3 + 96 + 8 = 666.

It is a Cunningham number, because it is equal to 88687²-1.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (52254720) is a multiple of the sum of its prime factors (672).

It is not an unprimeable number, because it can be changed into a prime (7865383961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20752803 + ... + 20753181.

It is an arithmetic number, because the mean of its divisors is an integer number (87867780).

Almost surely, 2^7865383968 is an apocalyptic number.

7865383968 is a gapful number since it is divisible by the number (78) 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 7865383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652960320).

7865383968 is an abundant number, since it is smaller than the sum of its proper divisors (17440536672).

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

7865383968 is a wasteful number, since it uses less digits than its factorization.

7865383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 661 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 7865383968 is about 88686.9999943622. Note that the first 5 decimals coincide. The cubic root of 7865383968 is about 1988.7184806463.

The spelling of 7865383968 in words is "seven billion, eight hundred sixty-five million, three hundred eighty-three thousand, nine hundred sixty-eight".