412716667264 has 128 divisors (see below), whose sum is σ = 976722624000. Its totient is φ = 171596113920.

The previous prime is 412716667243. The next prime is 412716667271. The reversal of 412716667264 is 462766617214.

It is a tau number, because it is divible by the number of its divisors (128).

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, 509817 + ... + 1041799.

It is an arithmetic number, because the mean of its divisors is an integer number (7630645500).

Almost surely, 2^412716667264 is an apocalyptic number.

412716667264 is a gapful number since it is divisible by the number (44) 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 412716667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488361312000).

412716667264 is an abundant number, since it is smaller than the sum of its proper divisors (564005956736).

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

412716667264 is a wasteful number, since it uses less digits than its factorization.

412716667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532056 (or 532044 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The spelling of 412716667264 in words is "four hundred twelve billion, seven hundred sixteen million, six hundred sixty-seven thousand, two hundred sixty-four".