6672259440 has 720 divisors, whose sum is σ = 29442178080. Its totient is φ = 1383782400.

The previous prime is 6672259439. The next prime is 6672259459. The reversal of 6672259440 is 449522766.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6672259440² = 89038092069338227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12806380 + ... + 12806900.

It is an arithmetic number, because the mean of its divisors is an integer number (40891914).

Almost surely, 2^6672259440 is an apocalyptic number.

6672259440 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 6672259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721089040).

6672259440 is an abundant number, since it is smaller than the sum of its proper divisors (22769918640).

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

6672259440 is a wasteful number, since it uses less digits than its factorization.

6672259440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6672259440 is about 81683.8995151431. The cubic root of 6672259440 is about 1882.5982107776.

The spelling of 6672259440 in words is "six billion, six hundred seventy-two million, two hundred fifty-nine thousand, four hundred forty".