9407122667264 has 144 divisors (see below), whose sum is σ = 22027884899328. Its totient is φ = 3925808173056.

The previous prime is 9407122667227. The next prime is 9407122667281. The reversal of 9407122667264 is 4627662217049.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 16308647 + ... + 16875609.

It is an arithmetic number, because the mean of its divisors is an integer number (152971422912).

Almost surely, 2^{9407122667264} is an apocalyptic number.

9407122667264 is a gapful number since it is divisible by the number (94) 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 9407122667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11013942449664).

9407122667264 is an abundant number, since it is smaller than the sum of its proper divisors (12620762232064).

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

9407122667264 is a wasteful number, since it uses less digits than its factorization.

9407122667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567230 (or 567216 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 9407122667264 in words is "nine trillion, four hundred seven billion, one hundred twenty-two million, six hundred sixty-seven thousand, two hundred sixty-four".