7679363328000 has 3072 divisors, whose sum is σ = 36231826176000. Its totient is φ = 1560674304000.

The previous prime is 7679363327963. The next prime is 7679363328019. The reversal of 7679363328000 is 8233639767.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×7679363328000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18240767790 + ... + 18240768210.

It is an arithmetic number, because the mean of its divisors is an integer number (11794214250).

Almost surely, 2^{7679363328000} is an apocalyptic number.

7679363328000 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 7679363328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115913088000).

7679363328000 is an abundant number, since it is smaller than the sum of its proper divisors (28552462848000).

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

7679363328000 is a wasteful number, since it uses less digits than its factorization.

7679363328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 7679363328000 in words is "seven trillion, six hundred seventy-nine billion, three hundred sixty-three million, three hundred twenty-eight thousand".