6504418332400 has 120 divisors (see below), whose sum is σ = 15690851399808. Its totient is φ = 2591128800000.

The previous prime is 6504418332389. The next prime is 6504418332437. The reversal of 6504418332400 is 42338144056.

It is a super-2 number, since 2×6504418332400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 145650075 + ... + 145694725.

Almost surely, 2^{6504418332400} 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 6504418332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845425699904).

6504418332400 is an abundant number, since it is smaller than the sum of its proper divisors (9186433067408).

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

6504418332400 is a wasteful number, since it uses less digits than its factorization.

6504418332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46151 (or 46140 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 6504418332400 in words is "six trillion, five hundred four billion, four hundred eighteen million, three hundred thirty-two thousand, four hundred".