387547856640 has 360 divisors, whose sum is σ = 1584822513120. Its totient is φ = 88582201344.

The previous prime is 387547856623. The next prime is 387547856681. The reversal of 387547856640 is 46658745783.

387547856640 is a `hidden beast` number, since 3 + 8 + 7 + 547 + 85 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 458766 + ... + 992754.

Almost surely, 2^387547856640 is an apocalyptic number.

387547856640 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 387547856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792411256560).

387547856640 is an abundant number, since it is smaller than the sum of its proper divisors (1197274656480).

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

387547856640 is an equidigital number, since it uses as much as digits as its factorization.

387547856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534029 (or 534006 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 387547856640 in words is "three hundred eighty-seven billion, five hundred forty-seven million, eight hundred fifty-six thousand, six hundred forty".