65817163697040 has 640 divisors, whose sum is σ = 262314717926400. Its totient is φ = 14857619374080.

The previous prime is 65817163697011. The next prime is 65817163697041. The reversal of 65817163697040 is 4079636171856.

65817163697040 is a `hidden beast` number, since 6 + 581 + 7 + 1 + 6 + 3 + 6 + 9 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (65817163697041) 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, 480036816 + ... + 480173904.

It is an arithmetic number, because the mean of its divisors is an integer number (409866746760).

Almost surely, 2^{65817163697040} is an apocalyptic number.

65817163697040 is a gapful number since it is divisible by the number (60) 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 65817163697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131157358963200).

65817163697040 is an abundant number, since it is smaller than the sum of its proper divisors (196497554229360).

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

65817163697040 is a wasteful number, since it uses less digits than its factorization.

65817163697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137512 (or 137500 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 65817163697040 in words is "sixty-five trillion, eight hundred seventeen billion, one hundred sixty-three million, six hundred ninety-seven thousand, forty".