6006385377840 has 160 divisors (see below), whose sum is σ = 19061798823936. Its totient is φ = 1563716044800.

The previous prime is 6006385377803. The next prime is 6006385377869. The reversal of 6006385377840 is 487735836006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21917665 + ... + 22190015.

Almost surely, 2^{6006385377840} is an apocalyptic number.

6006385377840 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 6006385377840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9530899411968).

6006385377840 is an abundant number, since it is smaller than the sum of its proper divisors (13055413446096).

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

6006385377840 is a wasteful number, since it uses less digits than its factorization.

6006385377840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274547 (or 274541 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 6006385377840 in words is "six trillion, six billion, three hundred eighty-five million, three hundred seventy-seven thousand, eight hundred forty".