7435668656 has 40 divisors (see below), whose sum is σ = 15563889264. Its totient is φ = 3420990720.

The previous prime is 7435668623. The next prime is 7435668673. The reversal of 7435668656 is 6568665347.

It is a super-3 number, since 3×7435668656³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9551 + ... + 122321.

Almost surely, 2^7435668656 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 7435668656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781944632).

7435668656 is an abundant number, since it is smaller than the sum of its proper divisors (8128220608).

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

7435668656 is a wasteful number, since it uses less digits than its factorization.

7435668656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113109 (or 113103 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 56.

The square root of 7435668656 is about 86230.3232975500. The cubic root of 7435668656 is about 1951.8211044397.

The spelling of 7435668656 in words is "seven billion, four hundred thirty-five million, six hundred sixty-eight thousand, six hundred fifty-six".