8072994988800 has 1512 divisors, whose sum is σ = 35079980675040. Its totient is φ = 1799951155200.

The previous prime is 8072994988711. The next prime is 8072994988811. The reversal of 8072994988800 is 88894992708.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1339024186 + ... + 1339030214.

It is an arithmetic number, because the mean of its divisors is an integer number (23201045420).

Almost surely, 2^{8072994988800} is an apocalyptic number.

8072994988800 is a gapful number since it is divisible by the number (80) 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 8072994988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539990337520).

8072994988800 is an abundant number, since it is smaller than the sum of its proper divisors (27006985686240).

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

8072994988800 is an equidigital number, since it uses as much as digits as its factorization.

8072994988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 8072994988800 in words is "eight trillion, seventy-two billion, nine hundred ninety-four million, nine hundred eighty-eight thousand, eight hundred".