6667007424 has 336 divisors, whose sum is σ = 23366797056. Its totient is φ = 1655808000.

The previous prime is 6667007407. The next prime is 6667007441. The reversal of 6667007424 is 4247007666.

It is an interprime number because it is at equal distance from previous prime (6667007407) and next prime (6667007441).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×6667007424² = 88897975983342231552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2378824 + ... + 2381624.

Almost surely, 2^6667007424 is an apocalyptic number.

6667007424 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 6667007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683398528).

6667007424 is an abundant number, since it is smaller than the sum of its proper divisors (16699789632).

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

6667007424 is a wasteful number, since it uses less digits than its factorization.

6667007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 6667007424 is about 81651.7447700905. The cubic root of 6667007424 is about 1882.1041237085.

The spelling of 6667007424 in words is "six billion, six hundred sixty-seven million, seven thousand, four hundred twenty-four".