7641408008 has 48 divisors (see below), whose sum is σ = 15528574800. Its totient is φ = 3523615680.

The previous prime is 7641407999. The next prime is 7641408133. The reversal of 7641408008 is 8008041467.

It is a super-2 number, since 2×7641408008² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2187143 + ... + 2190633.

It is an arithmetic number, because the mean of its divisors is an integer number (323511975).

Almost surely, 2^7641408008 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 7641408008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764287400).

7641408008 is an abundant number, since it is smaller than the sum of its proper divisors (7887166792).

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

7641408008 is a wasteful number, since it uses less digits than its factorization.

7641408008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 7641408008 is about 87415.1474745653. The cubic root of 7641408008 is about 1969.6593850541.

The spelling of 7641408008 in words is "seven billion, six hundred forty-one million, four hundred eight thousand, eight".