7641869508 has 480 divisors, whose sum is σ = 26227998720. Its totient is φ = 1885213440.

The previous prime is 7641869507. The next prime is 7641869513. The reversal of 7641869508 is 8059681467.

7641869508 is a `hidden beast` number, since 7 + 64 + 18 + 69 + 508 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7641869507) 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 159 ways as a sum of consecutive naturals, for example, 40009693 + ... + 40009883.

It is an arithmetic number, because the mean of its divisors is an integer number (54641664).

Almost surely, 2^7641869508 is an apocalyptic number.

7641869508 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 7641869508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13113999360).

7641869508 is an abundant number, since it is smaller than the sum of its proper divisors (18586129212).

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

7641869508 is a wasteful number, since it uses less digits than its factorization.

7641869508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 7641869508 is about 87417.7871374013. The cubic root of 7641869508 is about 1969.6990365384.

The spelling of 7641869508 in words is "seven billion, six hundred forty-one million, eight hundred sixty-nine thousand, five hundred eight".