7022395064160 has 1536 divisors, whose sum is σ = 29601745367040. Its totient is φ = 1540678164480.

The previous prime is 7022395064131. The next prime is 7022395064177. The reversal of 7022395064160 is 614605932207.

7022395064160 is a `hidden beast` number, since 7 + 0 + 223 + 9 + 5 + 0 + 6 + 416 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6424880574 + ... + 6424881666.

It is an arithmetic number, because the mean of its divisors is an integer number (19271969640).

Almost surely, 2^{7022395064160} is an apocalyptic number.

7022395064160 is a gapful number since it is divisible by the number (70) 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 7022395064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14800872683520).

7022395064160 is an abundant number, since it is smaller than the sum of its proper divisors (22579350302880).

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

7022395064160 is a wasteful number, since it uses less digits than its factorization.

7022395064160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 7022395064160 in words is "seven trillion, twenty-two billion, three hundred ninety-five million, sixty-four thousand, one hundred sixty".