7668829476 has 648 divisors, whose sum is σ = 27374081280. Its totient is φ = 1796256000.

The previous prime is 7668829417. The next prime is 7668829501. The reversal of 7668829476 is 6749288667.

7668829476 is a `hidden beast` number, since 7 + 66 + 88 + 29 + 476 = 666.

It is a super-3 number, since 3×7668829476³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 125718486 + ... + 125718546.

Almost surely, 2^7668829476 is an apocalyptic number.

7668829476 is a gapful number since it is divisible by the number (76) 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 7668829476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687040640).

7668829476 is an abundant number, since it is smaller than the sum of its proper divisors (19705251804).

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

7668829476 is a wasteful number, since it uses less digits than its factorization.

7668829476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 7668829476 is about 87571.8532178005. The cubic root of 7668829476 is about 1972.0126369456.

The spelling of 7668829476 in words is "seven billion, six hundred sixty-eight million, eight hundred twenty-nine thousand, four hundred seventy-six".