187008345680 has 320 divisors, whose sum is σ = 493795061760. Its totient is φ = 65393049600.

The previous prime is 187008345581. The next prime is 187008345707. The reversal of 187008345680 is 86543800781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425986901 + ... + 425987339.

It is an arithmetic number, because the mean of its divisors is an integer number (1543109568).

Almost surely, 2^187008345680 is an apocalyptic number.

187008345680 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 187008345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246897530880).

187008345680 is an abundant number, since it is smaller than the sum of its proper divisors (306786716080).

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

187008345680 is a wasteful number, since it uses less digits than its factorization.

187008345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 187008345680 in words is "one hundred eighty-seven billion, eight million, three hundred forty-five thousand, six hundred eighty".