7251973344 has 648 divisors, whose sum is σ = 27418233024. Its totient is φ = 1809561600.

The previous prime is 7251973343. The next prime is 7251973357. The reversal of 7251973344 is 4433791527.

It is a super-2 number, since 2×7251973344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7251973344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7251973343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52934044 + ... + 52934180.

It is an arithmetic number, because the mean of its divisors is an integer number (42312088).

Almost surely, 2^7251973344 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 7251973344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709116512).

7251973344 is an abundant number, since it is smaller than the sum of its proper divisors (20166259680).

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

7251973344 is a wasteful number, since it uses less digits than its factorization.

7251973344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 7251973344 is about 85158.5189161953. The cubic root of 7251973344 is about 1935.6139037222.

The spelling of 7251973344 in words is "seven billion, two hundred fifty-one million, nine hundred seventy-three thousand, three hundred forty-four".