187490252664 has 1024 divisors, whose sum is σ = 677221171200. Its totient is φ = 47184076800.

The previous prime is 187490252633. The next prime is 187490252689. The reversal of 187490252664 is 466252094781.

187490252664 is a `hidden beast` number, since 18 + 7 + 49 + 0 + 2 + 526 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 187490252664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1752245299 + ... + 1752245405.

It is an arithmetic number, because the mean of its divisors is an integer number (661348800).

Almost surely, 2^187490252664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187490252664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338610585600).

187490252664 is an abundant number, since it is smaller than the sum of its proper divisors (489730918536).

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

187490252664 is a wasteful number, since it uses less digits than its factorization.

187490252664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 187490252664 in words is "one hundred eighty-seven billion, four hundred ninety million, two hundred fifty-two thousand, six hundred sixty-four".