97817032664064 has 1408 divisors, whose sum is σ = 362352407040000. Its totient is φ = 25974692610048.

The previous prime is 97817032664059. The next prime is 97817032664069. The reversal of 97817032664064 is 46046623071879.

It is a happy number.

97817032664064 is a `hidden beast` number, since 9 + 78 + 1 + 70 + 32 + 66 + 406 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (97817032664059) and next prime (97817032664069).

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

It is a junction number, because it is equal to n+sod(n) for n = 97817032663992 and 97817032664010.

It is not an unprimeable number, because it can be changed into a prime (97817032664069) 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, 9549641727 + ... + 9549651969.

Almost surely, 2^{97817032664064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97817032664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181176203520000).

97817032664064 is an abundant number, since it is smaller than the sum of its proper divisors (264535374375936).

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

97817032664064 is a wasteful number, since it uses less digits than its factorization.

97817032664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 97817032664064 in words is "ninety-seven trillion, eight hundred seventeen billion, thirty-two million, six hundred sixty-four thousand, sixty-four".