6405570072 has 160 divisors (see below), whose sum is σ = 19669953600. Its totient is φ = 1931428800.

The previous prime is 6405570023. The next prime is 6405570077. The reversal of 6405570072 is 2700755046.

6405570072 is a `hidden beast` number, since 640 + 5 + 5 + 7 + 0 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6405570077) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1501879 + ... + 1506137.

It is an arithmetic number, because the mean of its divisors is an integer number (122937210).

Almost surely, 2^6405570072 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 6405570072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9834976800).

6405570072 is an abundant number, since it is smaller than the sum of its proper divisors (13264383528).

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

6405570072 is a wasteful number, since it uses less digits than its factorization.

6405570072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 6405570072 is about 80034.8053786601. The cubic root of 6405570072 is about 1857.1740019280.

The spelling of 6405570072 in words is "six billion, four hundred five million, five hundred seventy thousand, seventy-two".