187147896768 has 1344 divisors, whose sum is σ = 709843599360. Its totient is φ = 48074342400.

The previous prime is 187147896763. The next prime is 187147896869. The reversal of 187147896768 is 867698741781.

187147896768 is a `hidden beast` number, since 1 + 8 + 7 + 1 + 478 + 96 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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.

Its product of digits (227598336) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 187147896696 and 187147896705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187147896763) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3981870121 + ... + 3981870167.

It is an arithmetic number, because the mean of its divisors is an integer number (528157440).

Almost surely, 2^187147896768 is an apocalyptic number.

187147896768 is a gapful number since it is divisible by the number (18) 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 187147896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354921799680).

187147896768 is an abundant number, since it is smaller than the sum of its proper divisors (522695702592).

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

187147896768 is a wasteful number, since it uses less digits than its factorization.

187147896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 72.

The spelling of 187147896768 in words is "one hundred eighty-seven billion, one hundred forty-seven million, eight hundred ninety-six thousand, seven hundred sixty-eight".