6387408855450 has 576 divisors, whose sum is σ = 21057404239872. Its totient is φ = 1408675276800.

The previous prime is 6387408855437. The next prime is 6387408855491. The reversal of 6387408855450 is 545588047836.

6387408855450 is a `hidden beast` number, since 6 + 3 + 8 + 7 + 4 + 0 + 8 + 85 + 545 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 930698719 + ... + 930705581.

It is an arithmetic number, because the mean of its divisors is an integer number (36557993472).

Almost surely, 2^{6387408855450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6387408855450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528702119936).

6387408855450 is an abundant number, since it is smaller than the sum of its proper divisors (14669995384422).

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

6387408855450 is a wasteful number, since it uses less digits than its factorization.

6387408855450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 6387408855450 in words is "six trillion, three hundred eighty-seven billion, four hundred eight million, eight hundred fifty-five thousand, four hundred fifty".