6404712090 has 512 divisors, whose sum is σ = 20901888000. Its totient is φ = 1246371840.

The previous prime is 6404712079. The next prime is 6404712101. The reversal of 6404712090 is 902174046.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6404712079) and next prime (6404712101).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 136270447 + ... + 136270493.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 2^6404712090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404712090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450944000).

6404712090 is an abundant number, since it is smaller than the sum of its proper divisors (14497175910).

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

6404712090 is a wasteful number, since it uses less digits than its factorization.

6404712090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6404712090 is about 80029.4451436470. The cubic root of 6404712090 is about 1857.0910796694.

The spelling of 6404712090 in words is "six billion, four hundred four million, seven hundred twelve thousand, ninety".