387824876640 has 240 divisors, whose sum is σ = 1397822069952. Its totient is φ = 101219383296.

The previous prime is 387824876623. The next prime is 387824876641. The reversal of 387824876640 is 46678428783.

387824876640 is a `hidden beast` number, since 38 + 7 + 82 + 487 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387824876641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 290772 + ... + 927468.

Almost surely, 2^387824876640 is an apocalyptic number.

387824876640 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 387824876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698911034976).

387824876640 is an abundant number, since it is smaller than the sum of its proper divisors (1009997193312).

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

387824876640 is a wasteful number, since it uses less digits than its factorization.

387824876640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636771 (or 636754 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 387824876640 in words is "three hundred eighty-seven billion, eight hundred twenty-four million, eight hundred seventy-six thousand, six hundred forty".