797970687591168 has 1152 divisors, whose sum is σ = 3012193416960000. Its totient is φ = 202672620896256.

The previous prime is 797970687591163. The next prime is 797970687591169. The reversal of 797970687591168 is 861195786079797.

797970687591168 is a `hidden beast` number, since 7 + 9 + 7 + 9 + 7 + 0 + 6 + 8 + 7 + 591 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (797970687591163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7095602523 + ... + 7095714981.

It is an arithmetic number, because the mean of its divisors is an integer number (2614751230000).

Almost surely, 2^{797970687591168} is an apocalyptic number.

797970687591168 is a gapful number since it is divisible by the number (78) 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 797970687591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506096708480000).

797970687591168 is an abundant number, since it is smaller than the sum of its proper divisors (2214222729368832).

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

797970687591168 is a wasteful number, since it uses less digits than its factorization.

797970687591168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112922 (or 112902 counting only the distinct ones).

The product of its (nonzero) digits is 20163790080, while the sum is 90.

The spelling of 797970687591168 in words is "seven hundred ninety-seven trillion, nine hundred seventy billion, six hundred eighty-seven million, five hundred ninety-one thousand, one hundred sixty-eight".