197137584864 has 480 divisors, whose sum is σ = 643387298400. Its totient is φ = 58719375360.

The previous prime is 197137584803. The next prime is 197137584877. The reversal of 197137584864 is 468485731791.

197137584864 is a `hidden beast` number, since 1 + 9 + 71 + 37 + 58 + 486 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (40642560) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 711687894 + ... + 711688170.

It is an arithmetic number, because the mean of its divisors is an integer number (1340390205).

Almost surely, 2^197137584864 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 197137584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321693649200).

197137584864 is an abundant number, since it is smaller than the sum of its proper divisors (446249713536).

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

197137584864 is a wasteful number, since it uses less digits than its factorization.

197137584864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 197137584864 in words is "one hundred ninety-seven billion, one hundred thirty-seven million, five hundred eighty-four thousand, eight hundred sixty-four".