7811520007668 has 48 divisors (see below), whose sum is σ = 19999305236736. Its totient is φ = 2358194716800.

The previous prime is 7811520007667. The next prime is 7811520007679. The reversal of 7811520007668 is 8667000251187.

It is a happy number.

It is a super-2 number, since 2×7811520007668² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7811520007668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7811520007661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472386508 + ... + 472403043.

It is an arithmetic number, because the mean of its divisors is an integer number (416652192432).

Almost surely, 2^{7811520007668} is an apocalyptic number.

7811520007668 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7811520007668 is an abundant number, since it is smaller than the sum of its proper divisors (12187785229068).

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

7811520007668 is a wasteful number, since it uses less digits than its factorization.

7811520007668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944789624 (or 944789622 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 7811520007668 in words is "seven trillion, eight hundred eleven billion, five hundred twenty million, seven thousand, six hundred sixty-eight".