6388961080320 has 3520 divisors, whose sum is σ = 29997503348736. Its totient is φ = 1264146186240.

The previous prime is 6388961080147. The next prime is 6388961080379. The reversal of 6388961080320 is 230801698836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 50306780097 + ... + 50306780223.

Almost surely, 2^{6388961080320} is an apocalyptic number.

6388961080320 is a gapful number since it is divisible by the number (60) 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 6388961080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14998751674368).

6388961080320 is an abundant number, since it is smaller than the sum of its proper divisors (23608542268416).

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

6388961080320 is a wasteful number, since it uses less digits than its factorization.

6388961080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 6388961080320 in words is "six trillion, three hundred eighty-eight billion, nine hundred sixty-one million, eighty thousand, three hundred twenty".