7781971968 has 288 divisors, whose sum is σ = 24564758400. Its totient is φ = 2454478848.

The previous prime is 7781971963. The next prime is 7781971973. The reversal of 7781971968 is 8691791877.

It is an interprime number because it is at equal distance from previous prime (7781971963) and next prime (7781971973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7781971963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9455205 + ... + 9456027.

It is an arithmetic number, because the mean of its divisors is an integer number (85294300).

Almost surely, 2^7781971968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7781971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282379200).

7781971968 is an abundant number, since it is smaller than the sum of its proper divisors (16782786432).

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

7781971968 is an equidigital number, since it uses as much as digits as its factorization.

7781971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 847 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 63.

The square root of 7781971968 is about 88215.4859874387. The cubic root of 7781971968 is about 1981.6633955805.

The spelling of 7781971968 in words is "seven billion, seven hundred eighty-one million, nine hundred seventy-one thousand, nine hundred sixty-eight".