192381920640 has 960 divisors, whose sum is σ = 850493144160. Its totient is φ = 40577531904.

The previous prime is 192381920629. The next prime is 192381920669. The reversal of 192381920640 is 46029183291.

192381920640 is a `hidden beast` number, since 192 + 381 + 9 + 20 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61325152 + ... + 61328288.

Almost surely, 2^192381920640 is an apocalyptic number.

192381920640 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 192381920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425246572080).

192381920640 is an abundant number, since it is smaller than the sum of its proper divisors (658111223520).

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

192381920640 is a wasteful number, since it uses less digits than its factorization.

192381920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 192381920640 in words is "one hundred ninety-two billion, three hundred eighty-one million, nine hundred twenty thousand, six hundred forty".