6405881328000 has 4608 divisors, whose sum is σ = 31411758268800. Its totient is φ = 1277337600000.

The previous prime is 6405881327983. The next prime is 6405881328013. The reversal of 6405881328000 is 8231885046.

6405881328000 is a `hidden beast` number, since 6 + 40 + 588 + 1 + 3 + 28 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 105014447970 + ... + 105014448030.

Almost surely, 2^{6405881328000} is an apocalyptic number.

6405881328000 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 6405881328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705879134400).

6405881328000 is an abundant number, since it is smaller than the sum of its proper divisors (25005876940800).

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

6405881328000 is a wasteful number, since it uses less digits than its factorization.

6405881328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6405881328000 in words is "six trillion, four hundred five billion, eight hundred eighty-one million, three hundred twenty-eight thousand".