7331577672664 has 96 divisors (see below), whose sum is σ = 16390273337280. Its totient is φ = 3064147301376.

The previous prime is 7331577672619. The next prime is 7331577672677. The reversal of 7331577672664 is 4662767751337.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7331577672596 and 7331577672605.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4385152 + ... + 5821744.

It is an arithmetic number, because the mean of its divisors is an integer number (170732013930).

Almost surely, 2^{7331577672664} 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 7331577672664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195136668640).

7331577672664 is an abundant number, since it is smaller than the sum of its proper divisors (9058695664616).

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

7331577672664 is a wasteful number, since it uses less digits than its factorization.

7331577672664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436937 (or 1436926 counting only the distinct ones).

The product of its digits is 186701760, while the sum is 64.

The spelling of 7331577672664 in words is "seven trillion, three hundred thirty-one billion, five hundred seventy-seven million, six hundred seventy-two thousand, six hundred sixty-four".