3187060450560 has 864 divisors, whose sum is σ = 12820322511360. Its totient is φ = 715928371200.

The previous prime is 3187060450559. The next prime is 3187060450579. The reversal of 3187060450560 is 650540607813.

3187060450560 is a `hidden beast` number, since 3 + 1 + 87 + 0 + 6 + 0 + 4 + 5 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2341704280 + ... + 2341705640.

It is an arithmetic number, because the mean of its divisors is an integer number (14838336240).

Almost surely, 2^{3187060450560} is an apocalyptic number.

3187060450560 is a gapful number since it is divisible by the number (30) 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 3187060450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410161255680).

3187060450560 is an abundant number, since it is smaller than the sum of its proper divisors (9633262060800).

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

3187060450560 is a wasteful number, since it uses less digits than its factorization.

3187060450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3187060450560 in words is "three trillion, one hundred eighty-seven billion, sixty million, four hundred fifty thousand, five hundred sixty".