189030104640 has 1344 divisors, whose sum is σ = 776452884480. Its totient is φ = 41783132160.

The previous prime is 189030104617. The next prime is 189030104647. The reversal of 189030104640 is 46401030981.

189030104640 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 3 + 0 + 1 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 189030104595 and 189030104604.

It is not an unprimeable number, because it can be changed into a prime (189030104647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2123933716 + ... + 2123933804.

It is an arithmetic number, because the mean of its divisors is an integer number (577717920).

Almost surely, 2^189030104640 is an apocalyptic number.

189030104640 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 189030104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388226442240).

189030104640 is an abundant number, since it is smaller than the sum of its proper divisors (587422779840).

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

189030104640 is a wasteful number, since it uses less digits than its factorization.

189030104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 189030104640 in words is "one hundred eighty-nine billion, thirty million, one hundred four thousand, six hundred forty".