7466944000 has 160 divisors (see below), whose sum is σ = 19717416576. Its totient is φ = 2810675200.

The previous prime is 7466943977. The next prime is 7466944013. The reversal of 7466944000 is 4496647.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1084569 + ... + 1091431.

Almost surely, 2^7466944000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7466944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858708288).

7466944000 is an abundant number, since it is smaller than the sum of its proper divisors (12250472576).

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

7466944000 is an equidigital number, since it uses as much as digits as its factorization.

7466944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 7466944000 is about 86411.4807187101. The cubic root of 7466944000 is about 1954.5538104761.

The spelling of 7466944000 in words is "seven billion, four hundred sixty-six million, nine hundred forty-four thousand".