7641881982 has 96 divisors (see below), whose sum is σ = 20256897024. Its totient is φ = 2112933600.

The previous prime is 7641881969. The next prime is 7641882029. The reversal of 7641881982 is 2891881467.

7641881982 is a `hidden beast` number, since 76 + 418 + 81 + 9 + 82 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69232 + ... + 141692.

It is an arithmetic number, because the mean of its divisors is an integer number (211009344).

Almost surely, 2^7641881982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7641881982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128448512).

7641881982 is an abundant number, since it is smaller than the sum of its proper divisors (12615015042).

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

7641881982 is a wasteful number, since it uses less digits than its factorization.

7641881982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72516 (or 72504 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 7641881982 is about 87417.8584844081. The cubic root of 7641881982 is about 1969.7001082662.

The spelling of 7641881982 in words is "seven billion, six hundred forty-one million, eight hundred eighty-one thousand, nine hundred eighty-two".