189950624640 has 480 divisors, whose sum is σ = 789109219800. Its totient is φ = 43416705024.

The previous prime is 189950624603. The next prime is 189950624663. The reversal of 189950624640 is 46426059981.

189950624640 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 5 + 0 + 624 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×189950624640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2502771 + ... + 2577549.

Almost surely, 2^189950624640 is an apocalyptic number.

189950624640 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 189950624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394554609900).

189950624640 is an abundant number, since it is smaller than the sum of its proper divisors (599158595160).

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

189950624640 is an equidigital number, since it uses as much as digits as its factorization.

189950624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74824 (or 74796 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 189950624640 in words is "one hundred eighty-nine billion, nine hundred fifty million, six hundred twenty-four thousand, six hundred forty".