7663521408 has 192 divisors, whose sum is σ = 22161376800. Its totient is φ = 2339850240.

The previous prime is 7663521407. The next prime is 7663521421. The reversal of 7663521408 is 8041253667.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 7663521408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7663521401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7010910 + ... + 7012002.

Almost surely, 2^7663521408 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 7663521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080688400).

7663521408 is an abundant number, since it is smaller than the sum of its proper divisors (14497855392).

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

7663521408 is a wasteful number, since it uses less digits than its factorization.

7663521408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 7663521408 is about 87541.5410419533. The cubic root of 7663521408 is about 1971.5575482335.

The spelling of 7663521408 in words is "seven billion, six hundred sixty-three million, five hundred twenty-one thousand, four hundred eight".