6007249920 has 176 divisors, whose sum is σ = 21959036928. Its totient is φ = 1373061120.

The previous prime is 6007249909. The next prime is 6007249951. The reversal of 6007249920 is 299427006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79585 + ... + 135455.

Almost surely, 2^6007249920 is an apocalyptic number.

6007249920 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 6007249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979518464).

6007249920 is an abundant number, since it is smaller than the sum of its proper divisors (15951787008).

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

6007249920 is a wasteful number, since it uses less digits than its factorization.

6007249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55906 (or 55888 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6007249920 is about 77506.4508283020. The cubic root of 6007249920 is about 1817.8521859633.

The spelling of 6007249920 in words is "six billion, seven million, two hundred forty-nine thousand, nine hundred twenty".