7941827712 has 512 divisors, whose sum is σ = 28500595200. Its totient is φ = 1899233280.

The previous prime is 7941827623. The next prime is 7941827713. The reversal of 7941827712 is 2177281497.

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

It is not an unprimeable number, because it can be changed into a prime (7941827713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17227162 + ... + 17227622.

It is an arithmetic number, because the mean of its divisors is an integer number (55665225).

Almost surely, 2^7941827712 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 7941827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250297600).

7941827712 is an abundant number, since it is smaller than the sum of its proper divisors (20558767488).

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

7941827712 is a wasteful number, since it uses less digits than its factorization.

7941827712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its digits is 395136, while the sum is 48.

The square root of 7941827712 is about 89116.9328017970. The cubic root of 7941827712 is about 1995.1405115824.

The spelling of 7941827712 in words is "seven billion, nine hundred forty-one million, eight hundred twenty-seven thousand, seven hundred twelve".