190768413960 has 576 divisors, whose sum is σ = 680619466800. Its totient is φ = 46294695936.

The previous prime is 190768413947. The next prime is 190768413971. The reversal of 190768413960 is 69314867091.

190768413960 is a `hidden beast` number, since 190 + 7 + 68 + 4 + 1 + 396 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 160385832324 + 30382581636 = 400482^2 + 174306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 190768413897 and 190768413906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 466426236 + ... + 466426644.

Almost surely, 2^190768413960 is an apocalyptic number.

190768413960 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 190768413960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340309733400).

190768413960 is an abundant number, since it is smaller than the sum of its proper divisors (489851052840).

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

190768413960 is a wasteful number, since it uses less digits than its factorization.

190768413960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 190768413960 in words is "one hundred ninety billion, seven hundred sixty-eight million, four hundred thirteen thousand, nine hundred sixty".