6075531230400 has 2520 divisors, whose sum is σ = 25090509818880. Its totient is φ = 1439617536000.

The previous prime is 6075531230317. The next prime is 6075531230497. The reversal of 6075531230400 is 40321355706.

6075531230400 is a `hidden beast` number, since 60 + 7 + 5 + 531 + 23 + 0 + 40 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 85570862365 + ... + 85570862435.

Almost surely, 2^{6075531230400} is an apocalyptic number.

6075531230400 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 6075531230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545254909440).

6075531230400 is an abundant number, since it is smaller than the sum of its proper divisors (19014978588480).

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

6075531230400 is a wasteful number, since it uses less digits than its factorization.

6075531230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 6075531230400 in words is "six trillion, seventy-five billion, five hundred thirty-one million, two hundred thirty thousand, four hundred".