7829319980160 has 1280 divisors, whose sum is σ = 34796738592000. Its totient is φ = 1636868653056.

The previous prime is 7829319980149. The next prime is 7829319980191. The reversal of 7829319980160 is 610899139287.

7829319980160 is a `hidden beast` number, since 7 + 82 + 9 + 319 + 9 + 80 + 160 = 666.

It is a super-2 number, since 2×7829319980160² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 199927302 + ... + 199966458.

It is an arithmetic number, because the mean of its divisors is an integer number (27184952025).

Almost surely, 2^{7829319980160} is an apocalyptic number.

7829319980160 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 7829319980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398369296000).

7829319980160 is an abundant number, since it is smaller than the sum of its proper divisors (26967418611840).

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

7829319980160 is a wasteful number, since it uses less digits than its factorization.

7829319980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39243 (or 39222 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 7829319980160 in words is "seven trillion, eight hundred twenty-nine billion, three hundred nineteen million, nine hundred eighty thousand, one hundred sixty".