196164709632 has 288 divisors, whose sum is σ = 595459388160. Its totient is φ = 63677767680.

The previous prime is 196164709589. The next prime is 196164709681. The reversal of 196164709632 is 236907461691.

196164709632 is a `hidden beast` number, since 19 + 616 + 4 + 7 + 0 + 9 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43425838 + ... + 43430354.

It is an arithmetic number, because the mean of its divisors is an integer number (2067567320).

Almost surely, 2^196164709632 is an apocalyptic number.

196164709632 is a gapful number since it is divisible by the number (12) 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 196164709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297729694080).

196164709632 is an abundant number, since it is smaller than the sum of its proper divisors (399294678528).

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

196164709632 is a wasteful number, since it uses less digits than its factorization.

196164709632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 196164709632 in words is "one hundred ninety-six billion, one hundred sixty-four million, seven hundred nine thousand, six hundred thirty-two".