7079801863680 has 4800 divisors, whose sum is σ = 34793915904000. Its totient is φ = 1369491701760.

The previous prime is 7079801863637. The next prime is 7079801863733. The reversal of 7079801863680 is 863681089707.

7079801863680 is a `hidden beast` number, since 7 + 0 + 7 + 98 + 0 + 186 + 368 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 228380705265 + ... + 228380705295.

It is an arithmetic number, because the mean of its divisors is an integer number (7248732480).

Almost surely, 2^{7079801863680} is an apocalyptic number.

7079801863680 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 7079801863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396957952000).

7079801863680 is an abundant number, since it is smaller than the sum of its proper divisors (27714114040320).

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

7079801863680 is a wasteful number, since it uses less digits than its factorization.

7079801863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 7079801863680 in words is "seven trillion, seventy-nine billion, eight hundred one million, eight hundred sixty-three thousand, six hundred eighty".