6654398400 has 1008 divisors, whose sum is σ = 28427659680. Its totient is φ = 1504051200.

The previous prime is 6654398347. The next prime is 6654398419. The reversal of 6654398400 is 48934566.

6654398400 is a `hidden beast` number, since 66 + 543 + 9 + 8 + 40 + 0 = 666.

It is a super-3 number, since 3×6654398400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162302380 + ... + 162302420.

Almost surely, 2^6654398400 is an apocalyptic number.

6654398400 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 6654398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213829840).

6654398400 is an abundant number, since it is smaller than the sum of its proper divisors (21773261280).

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

6654398400 is a wasteful number, since it uses less digits than its factorization.

6654398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6654398400 is about 81574.4960143794. The cubic root of 6654398400 is about 1880.9168607642.

The spelling of 6654398400 in words is "six billion, six hundred fifty-four million, three hundred ninety-eight thousand, four hundred".