197953265664 has 896 divisors, whose sum is σ = 747379353600. Its totient is φ = 50288394240.

The previous prime is 197953265663. The next prime is 197953265669. The reversal of 197953265664 is 466562359791.

197953265664 is a `hidden beast` number, since 1 + 97 + 9 + 532 + 6 + 5 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×197953265664² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (197953265663) 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, 1004838814 + ... + 1004839010.

Almost surely, 2^197953265664 is an apocalyptic number.

197953265664 is a gapful number since it is divisible by the number (14) 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 197953265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373689676800).

197953265664 is an abundant number, since it is smaller than the sum of its proper divisors (549426087936).

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

197953265664 is a wasteful number, since it uses less digits than its factorization.

197953265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 279 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 197953265664 in words is "one hundred ninety-seven billion, nine hundred fifty-three million, two hundred sixty-five thousand, six hundred sixty-four".