6556334400 has 1176 divisors, whose sum is σ = 30569513664. Its totient is φ = 1343692800.

The previous prime is 6556334381. The next prime is 6556334441. The reversal of 6556334400 is 44336556.

6556334400 is a `hidden beast` number, since 65 + 563 + 34 + 4 + 0 + 0 = 666.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 89812764 + ... + 89812836.

Almost surely, 2^6556334400 is an apocalyptic number.

6556334400 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 6556334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284756832).

6556334400 is an abundant number, since it is smaller than the sum of its proper divisors (24013179264).

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

6556334400 is a wasteful number, since it uses less digits than its factorization.

6556334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 6556334400 is about 80971.1948781787. The cubic root of 6556334400 is about 1871.6315843041.

The spelling of 6556334400 in words is "six billion, five hundred fifty-six million, three hundred thirty-four thousand, four hundred".