387990466560 has 520 divisors, whose sum is σ = 1451462237280. Its totient is φ = 98955952128.

The previous prime is 387990466559. The next prime is 387990466571. The reversal of 387990466560 is 65664099783.

387990466560 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 9 + 0 + 4 + 66 + 560 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38149156 + ... + 38159324.

Almost surely, 2^387990466560 is an apocalyptic number.

387990466560 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 387990466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725731118640).

387990466560 is an abundant number, since it is smaller than the sum of its proper divisors (1063471770720).

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

387990466560 is a wasteful number, since it uses less digits than its factorization.

387990466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 387990466560 in words is "three hundred eighty-seven billion, nine hundred ninety million, four hundred sixty-six thousand, five hundred sixty".