387108069480 has 1536 divisors, whose sum is σ = 1585059840000. Its totient is φ = 80820633600.

The previous prime is 387108069473. The next prime is 387108069497. The reversal of 387108069480 is 84960801783.

387108069480 is a `hidden beast` number, since 3 + 87 + 1 + 0 + 80 + 6 + 9 + 480 = 666.

It is a super-3 number, since 3×387108069480³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3990804792 + ... + 3990804888.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940000).

Almost surely, 2^387108069480 is an apocalyptic number.

387108069480 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 387108069480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920000).

387108069480 is an abundant number, since it is smaller than the sum of its proper divisors (1197951770520).

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

387108069480 is a wasteful number, since it uses less digits than its factorization.

387108069480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 387108069480 in words is "three hundred eighty-seven billion, one hundred eight million, sixty-nine thousand, four hundred eighty".