7979180620320 has 1728 divisors, whose sum is σ = 35186783014656. Its totient is φ = 1664835379200.

The previous prime is 7979180620303. The next prime is 7979180620321. The reversal of 7979180620320 is 230260819797.

7979180620320 is a `hidden beast` number, since 7 + 9 + 7 + 9 + 1 + 8 + 0 + 620 + 3 + 2 + 0 = 666.

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 (7979180620321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9648343747 + ... + 9648344573.

It is an arithmetic number, because the mean of its divisors is an integer number (20362721652).

Almost surely, 2^{7979180620320} is an apocalyptic number.

7979180620320 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 7979180620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593391507328).

7979180620320 is an abundant number, since it is smaller than the sum of its proper divisors (27207602394336).

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

7979180620320 is a wasteful number, since it uses less digits than its factorization.

7979180620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 7979180620320 in words is "seven trillion, nine hundred seventy-nine billion, one hundred eighty million, six hundred twenty thousand, three hundred twenty".