7422085313280 has 3456 divisors, whose sum is σ = 32912886988800. Its totient is φ = 1580182732800.

The previous prime is 7422085313243. The next prime is 7422085313287. The reversal of 7422085313280 is 823135802247.

7422085313280 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 0 + 8 + 531 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (7422085313287) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58441616577 + ... + 58441616703.

It is an arithmetic number, because the mean of its divisors is an integer number (9523404800).

Almost surely, 2^{7422085313280} 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 7422085313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456443494400).

7422085313280 is an abundant number, since it is smaller than the sum of its proper divisors (25490801675520).

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

7422085313280 is a wasteful number, since it uses less digits than its factorization.

7422085313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 7422085313280 in words is "seven trillion, four hundred twenty-two billion, eighty-five million, three hundred thirteen thousand, two hundred eighty".