7212833226720 has 768 divisors, whose sum is σ = 29514145167360. Its totient is φ = 1627328102400.

The previous prime is 7212833226719. The next prime is 7212833226727. The reversal of 7212833226720 is 276223382127.

7212833226720 is a `hidden beast` number, since 7 + 21 + 283 + 322 + 6 + 7 + 20 = 666.

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 (7212833226727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40350340 + ... + 40528700.

It is an arithmetic number, because the mean of its divisors is an integer number (38429876520).

Almost surely, 2^{7212833226720} 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 7212833226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757072583680).

7212833226720 is an abundant number, since it is smaller than the sum of its proper divisors (22301311940640).

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

7212833226720 is a wasteful number, since it uses less digits than its factorization.

7212833226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178456 (or 178442 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 7212833226720 in words is "seven trillion, two hundred twelve billion, eight hundred thirty-three million, two hundred twenty-six thousand, seven hundred twenty".