322792404480 has 2560 divisors, whose sum is σ = 1546501017600. Its totient is φ = 61917364224.

The previous prime is 322792404433. The next prime is 322792404481. The reversal of 322792404480 is 84404297223.

It is a happy number.

322792404480 is a `hidden beast` number, since 322 + 7 + 9 + 240 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322792404481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4421813724 + ... + 4421813796.

It is an arithmetic number, because the mean of its divisors is an integer number (604101960).

Almost surely, 2^322792404480 is an apocalyptic number.

322792404480 is a gapful number since it is divisible by the number (30) 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 322792404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773250508800).

322792404480 is an abundant number, since it is smaller than the sum of its proper divisors (1223708613120).

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

322792404480 is a wasteful number, since it uses less digits than its factorization.

322792404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 322792404480 in words is "three hundred twenty-two billion, seven hundred ninety-two million, four hundred four thousand, four hundred eighty".