6405900887772 has 192 divisors, whose sum is σ = 17132383457280. Its totient is φ = 2069129836800.

The previous prime is 6405900887761. The next prime is 6405900887773. The reversal of 6405900887772 is 2777880095046.

6405900887772 is a `hidden beast` number, since 6 + 405 + 90 + 0 + 8 + 8 + 77 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6405900887773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127564693 + ... + 127614899.

It is an arithmetic number, because the mean of its divisors is an integer number (89231163840).

Almost surely, 2^{6405900887772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6405900887772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8566191728640).

6405900887772 is an abundant number, since it is smaller than the sum of its proper divisors (10726482569508).

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

6405900887772 is a wasteful number, since it uses less digits than its factorization.

6405900887772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50569 (or 50561 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 6405900887772 in words is "six trillion, four hundred five billion, nine hundred million, eight hundred eighty-seven thousand, seven hundred seventy-two".