6387655680000 has 3360 divisors, whose sum is σ = 29406263483520. Its totient is φ = 1362493440000.

The previous prime is 6387655679987. The next prime is 6387655680079. The reversal of 6387655680000 is 865567836.

6387655680000 is a `hidden beast` number, since 6 + 3 + 8 + 7 + 6 + 556 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 155796479980 + ... + 155796480020.

It is an arithmetic number, because the mean of its divisors is an integer number (8751864132).

Almost surely, 2^{6387655680000} is an apocalyptic number.

6387655680000 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 6387655680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703131741760).

6387655680000 is an abundant number, since it is smaller than the sum of its proper divisors (23018607803520).

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

6387655680000 is an equidigital number, since it uses as much as digits as its factorization.

6387655680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6387655680000 in words is "six trillion, three hundred eighty-seven billion, six hundred fifty-five million, six hundred eighty thousand".