189766787616 has 216 divisors, whose sum is σ = 660795997680. Its totient is φ = 51365373696.

The previous prime is 189766787603. The next prime is 189766787653. The reversal of 189766787616 is 616787667981.

It is a super-2 number, since 2×189766787616² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85746 + ... + 622001.

It is an arithmetic number, because the mean of its divisors is an integer number (3059240730).

Almost surely, 2^189766787616 is an apocalyptic number.

189766787616 is a gapful number since it is divisible by the number (16) 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 189766787616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330397998840).

189766787616 is an abundant number, since it is smaller than the sum of its proper divisors (471029210064).

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

189766787616 is a wasteful number, since it uses less digits than its factorization.

189766787616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707796 (or 707778 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 72.

The spelling of 189766787616 in words is "one hundred eighty-nine billion, seven hundred sixty-six million, seven hundred eighty-seven thousand, six hundred sixteen".