8197476618240 has 2496 divisors, whose sum is σ = 37891783028736. Its totient is φ = 1652276330496.

The previous prime is 8197476618139. The next prime is 8197476618293. The reversal of 8197476618240 is 428166747918.

8197476618240 is a `hidden beast` number, since 8 + 1 + 9 + 7 + 4 + 7 + 6 + 618 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 191 ways as a sum of consecutive naturals, for example, 10416107127 + ... + 10416107913.

It is an arithmetic number, because the mean of its divisors is an integer number (15181002816).

Almost surely, 2^{8197476618240} is an apocalyptic number.

8197476618240 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 8197476618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18945891514368).

8197476618240 is an abundant number, since it is smaller than the sum of its proper divisors (29694306410496).

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

8197476618240 is a wasteful number, since it uses less digits than its factorization.

8197476618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 8197476618240 in words is "eight trillion, one hundred ninety-seven billion, four hundred seventy-six million, six hundred eighteen thousand, two hundred forty".