6648042038400 has 1536 divisors, whose sum is σ = 28745403033600. Its totient is φ = 1468938240000.

The previous prime is 6648042038399. The next prime is 6648042038453. The reversal of 6648042038400 is 48302408466.

6648042038400 is a `hidden beast` number, since 66 + 480 + 42 + 0 + 38 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 2626645135 + ... + 2626647665.

It is an arithmetic number, because the mean of its divisors is an integer number (18714455100).

Almost surely, 2^{6648042038400} is an apocalyptic number.

6648042038400 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 6648042038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14372701516800).

6648042038400 is an abundant number, since it is smaller than the sum of its proper divisors (22097360995200).

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

6648042038400 is a wasteful number, since it uses less digits than its factorization.

6648042038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 6648042038400 in words is "six trillion, six hundred forty-eight billion, forty-two million, thirty-eight thousand, four hundred".