6405027552 has 540 divisors, whose sum is σ = 24058550880. Its totient is φ = 1609977600.

The previous prime is 6405027533. The next prime is 6405027569. The reversal of 6405027552 is 2557205046.

6405027552 is a `hidden beast` number, since 640 + 5 + 0 + 2 + 7 + 5 + 5 + 2 = 666.

It is a super-2 number, since 2×6405027552² = 82048755883758225408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 206613777 + ... + 206613807.

It is an arithmetic number, because the mean of its divisors is an integer number (44552872).

Almost surely, 2^6405027552 is an apocalyptic number.

6405027552 is a gapful number since it is divisible by the number (62) 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 6405027552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029275440).

6405027552 is an abundant number, since it is smaller than the sum of its proper divisors (17653523328).

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

6405027552 is a wasteful number, since it uses less digits than its factorization.

6405027552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 6405027552 is about 80031.4160314560. The cubic root of 6405027552 is about 1857.1215693068.

The spelling of 6405027552 in words is "six billion, four hundred five million, twenty-seven thousand, five hundred fifty-two".