6007713600 has 672 divisors, whose sum is σ = 23810976000. Its totient is φ = 1324646400.

The previous prime is 6007713587. The next prime is 6007713601. The reversal of 6007713600 is 63177006.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007713601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67502356 + ... + 67502444.

It is an arithmetic number, because the mean of its divisors is an integer number (35433000).

Almost surely, 2^6007713600 is an apocalyptic number.

6007713600 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 6007713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905488000).

6007713600 is an abundant number, since it is smaller than the sum of its proper divisors (17803262400).

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

6007713600 is a wasteful number, since it uses less digits than its factorization.

6007713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 6007713600 is about 77509.4420054744. The cubic root of 6007713600 is about 1817.8989561175.

The spelling of 6007713600 in words is "six billion, seven million, seven hundred thirteen thousand, six hundred".