8197611618240 has 448 divisors, whose sum is σ = 31737358033920. Its totient is φ = 1975395962880.

The previous prime is 8197611618233. The next prime is 8197611618241. The reversal of 8197611618240 is 428161167918.

8197611618240 is a `hidden beast` number, since 8 + 1 + 9 + 7 + 6 + 11 + 618 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8197611618241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15613434 + ... + 16129926.

It is an arithmetic number, because the mean of its divisors is an integer number (70842317040).

Almost surely, 2^{8197611618240} is an apocalyptic number.

8197611618240 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 8197611618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868679016960).

8197611618240 is an abundant number, since it is smaller than the sum of its proper divisors (23539746415680).

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

8197611618240 is a wasteful number, since it uses less digits than its factorization.

8197611618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516697 (or 516681 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 8197611618240 in words is "eight trillion, one hundred ninety-seven billion, six hundred eleven million, six hundred eighteen thousand, two hundred forty".