7980242176512 has 480 divisors, whose sum is σ = 24474760390080. Its totient is φ = 2594926264320.

The previous prime is 7980242176481. The next prime is 7980242176513. The reversal of 7980242176512 is 2156712420897.

7980242176512 is a `hidden beast` number, since 7 + 9 + 80 + 2 + 42 + 1 + 7 + 6 + 512 = 666.

It is a super-2 number, since 2×7980242176512² (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 not an unprimeable number, because it can be changed into a prime (7980242176513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180331212 + ... + 1180337972.

It is an arithmetic number, because the mean of its divisors is an integer number (50989084146).

Almost surely, 2^{7980242176512} is an apocalyptic number.

7980242176512 is a gapful number since it is divisible by the number (72) 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 7980242176512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237380195040).

7980242176512 is an abundant number, since it is smaller than the sum of its proper divisors (16494518213568).

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

7980242176512 is an equidigital number, since it uses as much as digits as its factorization.

7980242176512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7980242176512 in words is "seven trillion, nine hundred eighty billion, two hundred forty-two million, one hundred seventy-six thousand, five hundred twelve".