6628406400 has 1152 divisors, whose sum is σ = 30582864000. Its totient is φ = 1354752000.

The previous prime is 6628406399. The next prime is 6628406417. The reversal of 6628406400 is 46048266.

It is a happy number.

6628406400 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 108662370 + ... + 108662430.

It is an arithmetic number, because the mean of its divisors is an integer number (26547625).

Almost surely, 2^6628406400 is an apocalyptic number.

6628406400 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 6628406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291432000).

6628406400 is an abundant number, since it is smaller than the sum of its proper divisors (23954457600).

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

6628406400 is a wasteful number, since it uses less digits than its factorization.

6628406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6628406400 is about 81415.0256402342. The cubic root of 6628406400 is about 1878.4647191080.

The spelling of 6628406400 in words is "six billion, six hundred twenty-eight million, four hundred six thousand, four hundred".