7250958444672 has 384 divisors, whose sum is σ = 22660281745920. Its totient is φ = 2220278169600.

The previous prime is 7250958444619. The next prime is 7250958444677. The reversal of 7250958444672 is 2764448590527.

7250958444672 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 9 + 584 + 4 + 46 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (7250958444677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54108183 + ... + 54242025.

It is an arithmetic number, because the mean of its divisors is an integer number (59011150380).

Almost surely, 2^{7250958444672} is an apocalyptic number.

7250958444672 is a gapful number since it is divisible by the number (72) 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 7250958444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330140872960).

7250958444672 is an abundant number, since it is smaller than the sum of its proper divisors (15409323301248).

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

7250958444672 is a wasteful number, since it uses less digits than its factorization.

7250958444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133972 (or 133957 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 7250958444672 in words is "seven trillion, two hundred fifty billion, nine hundred fifty-eight million, four hundred forty-four thousand, six hundred seventy-two".