7205414633472 has 1152 divisors, whose sum is σ = 23917507891200. Its totient is φ = 1902536294400.

The previous prime is 7205414633467. The next prime is 7205414633497. The reversal of 7205414633472 is 2743364145027.

It is a super-2 number, since 2×7205414633472² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66104721354 + ... + 66104721462.

It is an arithmetic number, because the mean of its divisors is an integer number (20761725600).

Almost surely, 2^{7205414633472} 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 7205414633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958753945600).

7205414633472 is an abundant number, since it is smaller than the sum of its proper divisors (16712093257728).

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

7205414633472 is a wasteful number, since it uses less digits than its factorization.

7205414633472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

Adding to 7205414633472 its reverse (2743364145027), we get a palindrome (9948778778499).

The spelling of 7205414633472 in words is "seven trillion, two hundred five billion, four hundred fourteen million, six hundred thirty-three thousand, four hundred seventy-two".