6427555200000 has 1056 divisors, whose sum is σ = 25959415991040. Its totient is φ = 1557964800000.

The previous prime is 6427555199903. The next prime is 6427555200019. The reversal of 6427555200000 is 25557246.

6427555200000 is a `hidden beast` number, since 64 + 2 + 75 + 5 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 950396619 + ... + 950403381.

Almost surely, 2^{6427555200000} is an apocalyptic number.

6427555200000 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 6427555200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979707995520).

6427555200000 is an abundant number, since it is smaller than the sum of its proper divisors (19531860791040).

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

6427555200000 is an equidigital number, since it uses as much as digits as its factorization.

6427555200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 6427555200000 in words is "six trillion, four hundred twenty-seven billion, five hundred fifty-five million, two hundred thousand".