7668989153280 has 3120 divisors, whose sum is σ = 35275674610176. Its totient is φ = 1529460817920.

The previous prime is 7668989153279. The next prime is 7668989153281. The reversal of 7668989153280 is 823519898667.

7668989153280 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 9 + 8 + 9 + 1 + 532 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7668989153279) and next prime (7668989153281).

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7668989153199 and 7668989153208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7668989153281) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 178348584939 + ... + 178348584981.

Almost surely, 2^{7668989153280} is an apocalyptic number.

7668989153280 is a gapful number since it is divisible by the number (70) 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 7668989153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637837305088).

7668989153280 is an abundant number, since it is smaller than the sum of its proper divisors (27606685456896).

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

7668989153280 is a wasteful number, since it uses less digits than its factorization.

7668989153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 7668989153280 in words is "seven trillion, six hundred sixty-eight billion, nine hundred eighty-nine million, one hundred fifty-three thousand, two hundred eighty".