7201233221504 has 288 divisors, whose sum is σ = 17641105662600. Its totient is φ = 2919147227136.

The previous prime is 7201233221477. The next prime is 7201233221513. The reversal of 7201233221504 is 4051223321027.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1659650567 + ... + 1659654905.

Almost surely, 2^{7201233221504} 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 7201233221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820552831300).

7201233221504 is an abundant number, since it is smaller than the sum of its proper divisors (10439872441096).

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

7201233221504 is a wasteful number, since it uses less digits than its factorization.

7201233221504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 7201233221504 in words is "seven trillion, two hundred one billion, two hundred thirty-three million, two hundred twenty-one thousand, five hundred four".