6006496400 has 120 divisors (see below), whose sum is σ = 14836609920. Its totient is φ = 2335956480.

The previous prime is 6006496393. The next prime is 6006496439. The reversal of 6006496400 is 46946006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2115782 + ... + 2118618.

It is an arithmetic number, because the mean of its divisors is an integer number (123638416).

Almost surely, 2^6006496400 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 6006496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418304960).

6006496400 is an abundant number, since it is smaller than the sum of its proper divisors (8830113520).

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

6006496400 is a wasteful number, since it uses less digits than its factorization.

6006496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 6006496400 is about 77501.5896611160. The cubic root of 6006496400 is about 1817.7761752942.

The spelling of 6006496400 in words is "six billion, six million, four hundred ninety-six thousand, four hundred".