6007400430 has 64 divisors (see below), whose sum is σ = 15224924160. Its totient is φ = 1512825984.

The previous prime is 6007400417. The next prime is 6007400453. The reversal of 6007400430 is 340047006.

It is a self number, because there is not a number n which added to its sum of digits gives 6007400430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164067 + ... + 197313.

It is an arithmetic number, because the mean of its divisors is an integer number (237889440).

Almost surely, 2^6007400430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6007400430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612462080).

6007400430 is an abundant number, since it is smaller than the sum of its proper divisors (9217523730).

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

6007400430 is a wasteful number, since it uses less digits than its factorization.

6007400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33593.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6007400430 is about 77507.4217736598. The cubic root of 6007400430 is about 1817.8673677659.

Adding to 6007400430 its reverse (340047006), we get a palindrome (6347447436).

The spelling of 6007400430 in words is "six billion, seven million, four hundred thousand, four hundred thirty".