8197665315840 has 5280 divisors, whose sum is σ = 41773106073600. Its totient is φ = 1521657446400.

The previous prime is 8197665315799. The next prime is 8197665315863. The reversal of 8197665315840 is 485135667918.

8197665315840 is a `hidden beast` number, since 8 + 1 + 9 + 7 + 6 + 6 + 531 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×8197665315840² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 264440816625 + ... + 264440816655.

It is an arithmetic number, because the mean of its divisors is an integer number (7911573120).

Almost surely, 2^{8197665315840} is an apocalyptic number.

8197665315840 is a gapful number since it is divisible by the number (80) 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 8197665315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20886553036800).

8197665315840 is an abundant number, since it is smaller than the sum of its proper divisors (33575440757760).

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

8197665315840 is a wasteful number, since it uses less digits than its factorization.

8197665315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 8197665315840 in words is "eight trillion, one hundred ninety-seven billion, six hundred sixty-five million, three hundred fifteen thousand, eight hundred forty".