6407042000 has 80 divisors (see below), whose sum is σ = 15551125200. Its totient is φ = 2553075200.

The previous prime is 6407041987. The next prime is 6407042039. The reversal of 6407042000 is 2407046.

It can be written as a sum of positive squares in 8 ways, for example, as 4249996864 + 2157045136 = 65192^2 + 46444^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532046 + ... + 543954.

It is an arithmetic number, because the mean of its divisors is an integer number (194389065).

Almost surely, 2^6407042000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775562600).

6407042000 is an abundant number, since it is smaller than the sum of its proper divisors (9144083200).

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

6407042000 is a wasteful number, since it uses less digits than its factorization.

6407042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 6407042000 is about 80044.0003997801. Note that the first 3 decimals coincide. The cubic root of 6407042000 is about 1857.3162436033.

Adding to 6407042000 its reverse (2407046), we get a palindrome (6409449046).

The spelling of 6407042000 in words is "six billion, four hundred seven million, forty-two thousand".