196878435840 has 320 divisors, whose sum is σ = 701396625600. Its totient is φ = 52345700352.

The previous prime is 196878435781. The next prime is 196878435847. The reversal of 196878435840 is 48534878691.

196878435840 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 7 + 8 + 43 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×196878435840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196878435847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24395326 + ... + 24403394.

It is an arithmetic number, because the mean of its divisors is an integer number (2191864455).

Almost surely, 2^196878435840 is an apocalyptic number.

196878435840 is a gapful number since it is divisible by the number (10) 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 196878435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350698312800).

196878435840 is an abundant number, since it is smaller than the sum of its proper divisors (504518189760).

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

196878435840 is an equidigital number, since it uses as much as digits as its factorization.

196878435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 196878435840 in words is "one hundred ninety-six billion, eight hundred seventy-eight million, four hundred thirty-five thousand, eight hundred forty".