7668249036 has 96 divisors (see below), whose sum is σ = 21428305920. Its totient is φ = 2086776384.

The previous prime is 7668248993. The next prime is 7668249067. The reversal of 7668249036 is 6309428667.

It is a happy number.

It is a super-2 number, since 2×7668249036² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7668249036.

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 31 ways as a sum of consecutive naturals, for example, 453445 + ... + 470051.

It is an arithmetic number, because the mean of its divisors is an integer number (223211520).

Almost surely, 2^7668249036 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 7668249036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714152960).

7668249036 is an abundant number, since it is smaller than the sum of its proper divisors (13760056884).

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

7668249036 is a wasteful number, since it uses less digits than its factorization.

7668249036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16883 (or 16881 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 7668249036 is about 87568.5390765428. The cubic root of 7668249036 is about 1971.9628829860.

The spelling of 7668249036 in words is "seven billion, six hundred sixty-eight million, two hundred forty-nine thousand, thirty-six".