187849366479360 has 640 divisors, whose sum is σ = 710591616725760. Its totient is φ = 46873933774848.

The previous prime is 187849366479347. The next prime is 187849366479367. The reversal of 187849366479360 is 63974663948781.

187849366479360 is a `hidden beast` number, since 1 + 8 + 7 + 8 + 493 + 6 + 64 + 7 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 187849366479360.

It is not an unprimeable number, because it can be changed into a prime (187849366479367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202819879 + ... + 203743961.

It is an arithmetic number, because the mean of its divisors is an integer number (1110299401134).

Almost surely, 2^{187849366479360} is an apocalyptic number.

187849366479360 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 187849366479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355295808362880).

187849366479360 is an abundant number, since it is smaller than the sum of its proper divisors (522742250246400).

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

187849366479360 is a wasteful number, since it uses less digits than its factorization.

187849366479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924305 (or 924283 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 81.

The spelling of 187849366479360 in words is "one hundred eighty-seven trillion, eight hundred forty-nine billion, three hundred sixty-six million, four hundred seventy-nine thousand, three hundred sixty".