6534238075200 has 672 divisors, whose sum is σ = 27513718830720. Its totient is φ = 1490876006400.

The previous prime is 6534238075163. The next prime is 6534238075247. The reversal of 6534238075200 is 25708324356.

6534238075200 is a `hidden beast` number, since 6 + 5 + 3 + 42 + 3 + 80 + 7 + 520 + 0 = 666.

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

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, 7673974 + ... + 8482826.

Almost surely, 2^{6534238075200} is an apocalyptic number.

6534238075200 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 6534238075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13756859415360).

6534238075200 is an abundant number, since it is smaller than the sum of its proper divisors (20979480755520).

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

6534238075200 is a wasteful number, since it uses less digits than its factorization.

6534238075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808912 (or 808891 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 6534238075200 in words is "six trillion, five hundred thirty-four billion, two hundred thirty-eight million, seventy-five thousand, two hundred".