6573783216 has 640 divisors, whose sum is σ = 24190451712. Its totient is φ = 1483776000.

The previous prime is 6573783179. The next prime is 6573783253. The reversal of 6573783216 is 6123873756.

It is an interprime number because it is at equal distance from previous prime (6573783179) and next prime (6573783253).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92588461 + ... + 92588531.

Almost surely, 2^6573783216 is an apocalyptic number.

6573783216 is a gapful number since it is divisible by the number (66) 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 6573783216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095225856).

6573783216 is an abundant number, since it is smaller than the sum of its proper divisors (17616668496).

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

6573783216 is a wasteful number, since it uses less digits than its factorization.

6573783216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 6573783216 is about 81078.8703424018. The cubic root of 6573783216 is about 1873.2904800870.

It can be divided in two parts, 657 and 3783216, that added together give a palindrome (3783873).

The spelling of 6573783216 in words is "six billion, five hundred seventy-three million, seven hundred eighty-three thousand, two hundred sixteen".