7220438283520 has 288 divisors, whose sum is σ = 21570006398976. Its totient is φ = 2249779814400.

The previous prime is 7220438283481. The next prime is 7220438283533. The reversal of 7220438283520 is 253828340227.

It is a super-2 number, since 2×7220438283520² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347610735 + ... + 347631505.

It is an arithmetic number, because the mean of its divisors is an integer number (74895855552).

Almost surely, 2^{7220438283520} is an apocalyptic number.

7220438283520 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 7220438283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785003199488).

7220438283520 is an abundant number, since it is smaller than the sum of its proper divisors (14349568115456).

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

7220438283520 is a wasteful number, since it uses less digits than its factorization.

7220438283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24337 (or 24323 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 7220438283520 in words is "seven trillion, two hundred twenty billion, four hundred thirty-eight million, two hundred eighty-three thousand, five hundred twenty".