7466382144 has 336 divisors, whose sum is σ = 24445813440. Its totient is φ = 2232023040.

The previous prime is 7466382109. The next prime is 7466382163. The reversal of 7466382144 is 4412836647.

7466382144 is a `hidden beast` number, since 7 + 4 + 6 + 638 + 2 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7466382144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10804839 + ... + 10805529.

Almost surely, 2^7466382144 is an apocalyptic number.

7466382144 is a gapful number since it is divisible by the number (74) 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 7466382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12222906720).

7466382144 is an abundant number, since it is smaller than the sum of its proper divisors (16979431296).

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

7466382144 is a wasteful number, since it uses less digits than its factorization.

7466382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 746 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 7466382144 is about 86408.2296080645. The cubic root of 7466382144 is about 1954.5047852733.

The spelling of 7466382144 in words is "seven billion, four hundred sixty-six million, three hundred eighty-two thousand, one hundred forty-four".