6645467400 has 384 divisors, whose sum is σ = 24557178240. Its totient is φ = 1465344000.

The previous prime is 6645467377. The next prime is 6645467447. The reversal of 6645467400 is 47645466.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6262870 + ... + 6263930.

It is an arithmetic number, because the mean of its divisors is an integer number (63950985).

Almost surely, 2^6645467400 is an apocalyptic number.

6645467400 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 6645467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278589120).

6645467400 is an abundant number, since it is smaller than the sum of its proper divisors (17911710840).

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

6645467400 is a wasteful number, since it uses less digits than its factorization.

6645467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 6645467400 is about 81519.7362606136. The cubic root of 6645467400 is about 1880.0750120968.

It can be divided in two parts, 66 and 45467400, that multiplied together give a square (3000848400 = 54780²).

The spelling of 6645467400 in words is "six billion, six hundred forty-five million, four hundred sixty-seven thousand, four hundred".