196929742464 has 576 divisors, whose sum is σ = 729201531240. Its totient is φ = 50526830592.

The previous prime is 196929742459. The next prime is 196929742489. The reversal of 196929742464 is 464247929691.

196929742464 is a `hidden beast` number, since 1 + 9 + 69 + 2 + 97 + 424 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 185692046400 + 11237696064 = 430920^2 + 106008^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27147862 + ... + 27155114.

Almost surely, 2^196929742464 is an apocalyptic number.

196929742464 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 196929742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364600765620).

196929742464 is an abundant number, since it is smaller than the sum of its proper divisors (532271788776).

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

196929742464 is a wasteful number, since it uses less digits than its factorization.

196929742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7315 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 196929742464 in words is "one hundred ninety-six billion, nine hundred twenty-nine million, seven hundred forty-two thousand, four hundred sixty-four".