190967332864 has 480 divisors, whose sum is σ = 519406755840. Its totient is φ = 67947724800.

The previous prime is 190967332849. The next prime is 190967332867. The reversal of 190967332864 is 468233769091.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 190967332799 and 190967332808.

It is not an unprimeable number, because it can be changed into a prime (190967332867) 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, 743063424 + ... + 743063680.

It is an arithmetic number, because the mean of its divisors is an integer number (1082097408).

Almost surely, 2^190967332864 is an apocalyptic number.

190967332864 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 190967332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259703377920).

190967332864 is an abundant number, since it is smaller than the sum of its proper divisors (328439422976).

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

190967332864 is a wasteful number, since it uses less digits than its factorization.

190967332864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 190967332864 in words is "one hundred ninety billion, nine hundred sixty-seven million, three hundred thirty-two thousand, eight hundred sixty-four".