6712012382400 has 1890 divisors, whose sum is σ = 28344726853740. Its totient is φ = 1552905768960.

The previous prime is 6712012382347. The next prime is 6712012382423. The reversal of 6712012382400 is 42832102176.

It is a happy number.

6712012382400 is a `hidden beast` number, since 6 + 7 + 12 + 0 + 1 + 238 + 2 + 400 = 666.

It is a super-2 number, since 2×6712012382400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 52850491137 + ... + 52850491263.

Almost surely, 2^{6712012382400} is an apocalyptic number.

6712012382400 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 6712012382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172363426870).

6712012382400 is an abundant number, since it is smaller than the sum of its proper divisors (21632714471340).

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

6712012382400 is a wasteful number, since it uses less digits than its factorization.

6712012382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 6712012382400 its reverse (42832102176), we get a palindrome (6754844484576).

The spelling of 6712012382400 in words is "six trillion, seven hundred twelve billion, twelve million, three hundred eighty-two thousand, four hundred".