6472059000 has 256 divisors, whose sum is σ = 22545768960. Its totient is φ = 1532160000.

The previous prime is 6472058959. The next prime is 6472059029. The reversal of 6472059000 is 9502746.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1416720 + ... + 1421280.

It is an arithmetic number, because the mean of its divisors is an integer number (88069410).

Almost surely, 2^6472059000 is an apocalyptic number.

6472059000 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 6472059000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11272884480).

6472059000 is an abundant number, since it is smaller than the sum of its proper divisors (16073709960).

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

6472059000 is a wasteful number, since it uses less digits than its factorization.

6472059000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 6472059000 is about 80449.1081367594. The cubic root of 6472059000 is about 1863.5776326020.

The spelling of 6472059000 in words is "six billion, four hundred seventy-two million, fifty-nine thousand".