6638144486400 has 2112 divisors, whose sum is σ = 29572383436800. Its totient is φ = 1425389322240.

The previous prime is 6638144486371. The next prime is 6638144486417. The reversal of 6638144486400 is 46844418366.

It is a happy number.

6638144486400 is a `hidden beast` number, since 6 + 6 + 3 + 81 + 44 + 486 + 40 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14984524579 + ... + 14984525021.

Almost surely, 2^{6638144486400} is an apocalyptic number.

6638144486400 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 6638144486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786191718400).

6638144486400 is an abundant number, since it is smaller than the sum of its proper divisors (22934238950400).

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

6638144486400 is a wasteful number, since it uses less digits than its factorization.

6638144486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 6638144486400 in words is "six trillion, six hundred thirty-eight billion, one hundred forty-four million, four hundred eighty-six thousand, four hundred".