797636568960 has 1536 divisors, whose sum is σ = 3522229401600. Its totient is φ = 162899066880.

The previous prime is 797636568923. The next prime is 797636568961. The reversal of 797636568960 is 69865636797.

It is a super-2 number, since 2×797636568960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797636568961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4776266797 + ... + 4776266963.

It is an arithmetic number, because the mean of its divisors is an integer number (2293118100).

Almost surely, 2^797636568960 is an apocalyptic number.

797636568960 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 797636568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761114700800).

797636568960 is an abundant number, since it is smaller than the sum of its proper divisors (2724592832640).

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

797636568960 is a wasteful number, since it uses less digits than its factorization.

797636568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 797636568960 in words is "seven hundred ninety-seven billion, six hundred thirty-six million, five hundred sixty-eight thousand, nine hundred sixty".