387713520480 has 384 divisors, whose sum is σ = 1465351243776. Its totient is φ = 84914380800.

The previous prime is 387713520473. The next prime is 387713520553. The reversal of 387713520480 is 84025317783.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3165990 + ... + 3286170.

It is an arithmetic number, because the mean of its divisors is an integer number (3816018864).

Almost surely, 2^387713520480 is an apocalyptic number.

387713520480 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 387713520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732675621888).

387713520480 is an abundant number, since it is smaller than the sum of its proper divisors (1077637723296).

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

387713520480 is a wasteful number, since it uses less digits than its factorization.

387713520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120270 (or 120262 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 387713520480 in words is "three hundred eighty-seven billion, seven hundred thirteen million, five hundred twenty thousand, four hundred eighty".