6554822400 has 432 divisors, whose sum is σ = 27474630400. Its totient is φ = 1497968640.

The previous prime is 6554822389. The next prime is 6554822419. The reversal of 6554822400 is 42284556.

It is a happy number.

6554822400 is a `hidden beast` number, since 6 + 554 + 82 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×6554822400³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 1206891 + ... + 1212309.

Almost surely, 2^6554822400 is an apocalyptic number.

6554822400 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 6554822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737315200).

6554822400 is an abundant number, since it is smaller than the sum of its proper divisors (20919808000).

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

6554822400 is a wasteful number, since it uses less digits than its factorization.

6554822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 6554822400 is about 80961.8576861969. The cubic root of 6554822400 is about 1871.4876967621.

The spelling of 6554822400 in words is "six billion, five hundred fifty-four million, eight hundred twenty-two thousand, four hundred".