6451974144 has 312 divisors, whose sum is σ = 23245664832. Its totient is φ = 1675100160.

The previous prime is 6451974131. The next prime is 6451974149. The reversal of 6451974144 is 4414791546.

6451974144 is a `hidden beast` number, since 6 + 45 + 197 + 414 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6451974144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6451974149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837392 + ... + 2839664.

It is an arithmetic number, because the mean of its divisors is an integer number (74505336).

Almost surely, 2^6451974144 is an apocalyptic number.

6451974144 is a gapful number since it is divisible by the number (64) 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 6451974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11622832416).

6451974144 is an abundant number, since it is smaller than the sum of its proper divisors (16793690688).

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

6451974144 is a wasteful number, since it uses less digits than its factorization.

6451974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2296 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 6451974144 is about 80324.1815644579. The cubic root of 6451974144 is about 1861.6478771188.

The spelling of 6451974144 in words is "six billion, four hundred fifty-one million, nine hundred seventy-four thousand, one hundred forty-four".