387462968640 has 1120 divisors, whose sum is σ = 1580504555520. Its totient is φ = 89239449600.

The previous prime is 387462968623. The next prime is 387462968689. The reversal of 387462968640 is 46869264783.

387462968640 is a `hidden beast` number, since 3 + 8 + 7 + 462 + 96 + 86 + 4 + 0 = 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 521484109 + ... + 521484851.

Almost surely, 2^387462968640 is an apocalyptic number.

387462968640 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 387462968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790252277760).

387462968640 is an abundant number, since it is smaller than the sum of its proper divisors (1193041586880).

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

387462968640 is a wasteful number, since it uses less digits than its factorization.

387462968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 387462968640 in words is "three hundred eighty-seven billion, four hundred sixty-two million, nine hundred sixty-eight thousand, six hundred forty".