7979682816000 has 896 divisors, whose sum is σ = 33721152491520. Its totient is φ = 1823883264000.

The previous prime is 7979682815989. The next prime is 7979682816023. The reversal of 7979682816000 is 6182869797.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193515385 + ... + 193556615.

Almost surely, 2^{7979682816000} is an apocalyptic number.

7979682816000 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 7979682816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16860576245760).

7979682816000 is an abundant number, since it is smaller than the sum of its proper divisors (25741469675520).

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

7979682816000 is an equidigital number, since it uses as much as digits as its factorization.

7979682816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41288 (or 41248 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 7979682816000 in words is "seven trillion, nine hundred seventy-nine billion, six hundred eighty-two million, eight hundred sixteen thousand".