6027452870400 has 3888 divisors, whose sum is σ = 27350801936640. Its totient is φ = 1304277811200.

The previous prime is 6027452870377. The next prime is 6027452870407. The reversal of 6027452870400 is 40782547206.

It is a happy number.

6027452870400 is a `hidden beast` number, since 60 + 2 + 74 + 52 + 8 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6027452870407) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 84893702365 + ... + 84893702435.

It is an arithmetic number, because the mean of its divisors is an integer number (7034671280).

Almost surely, 2^{6027452870400} is an apocalyptic number.

6027452870400 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 6027452870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13675400968320).

6027452870400 is an abundant number, since it is smaller than the sum of its proper divisors (21323349066240).

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

6027452870400 is a wasteful number, since it uses less digits than its factorization.

6027452870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 6027452870400 in words is "six trillion, twenty-seven billion, four hundred fifty-two million, eight hundred seventy thousand, four hundred".