6180451200 has 768 divisors, whose sum is σ = 28230336000. Its totient is φ = 1282867200.

The previous prime is 6180451181. The next prime is 6180451217. The reversal of 6180451200 is 21540816.

6180451200 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 451 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6652336 + ... + 6653264.

It is an arithmetic number, because the mean of its divisors is an integer number (36758250).

Almost surely, 2^6180451200 is an apocalyptic number.

6180451200 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 6180451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115168000).

6180451200 is an abundant number, since it is smaller than the sum of its proper divisors (22049884800).

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

6180451200 is a wasteful number, since it uses less digits than its factorization.

6180451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6180451200 is about 78615.8457309975. The cubic root of 6180451200 is about 1835.1577152367.

The spelling of 6180451200 in words is "six billion, one hundred eighty million, four hundred fifty-one thousand, two hundred".