6468083072 has 96 divisors (see below), whose sum is σ = 14547635760. Its totient is φ = 2860323840.

The previous prime is 6468083057. The next prime is 6468083087. The reversal of 6468083072 is 2703808646.

It is an interprime number because it is at equal distance from previous prime (6468083057) and next prime (6468083087).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567413 + ... + 578699.

Almost surely, 2^6468083072 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 6468083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273817880).

6468083072 is an abundant number, since it is smaller than the sum of its proper divisors (8079552688).

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

6468083072 is a wasteful number, since it uses less digits than its factorization.

6468083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11360 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 6468083072 is about 80424.3935134111. The cubic root of 6468083072 is about 1863.1959422069.

The spelling of 6468083072 in words is "six billion, four hundred sixty-eight million, eighty-three thousand, seventy-two".