7437282912 has 144 divisors (see below), whose sum is σ = 22002140160. Its totient is φ = 2380435200.

The previous prime is 7437282911. The next prime is 7437282959. The reversal of 7437282912 is 2192827347.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7437282912² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7437282911) 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 23 ways as a sum of consecutive naturals, for example, 1166389 + ... + 1172747.

It is an arithmetic number, because the mean of its divisors is an integer number (152792640).

Almost surely, 2^7437282912 is an apocalyptic number.

7437282912 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 7437282912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001070080).

7437282912 is an abundant number, since it is smaller than the sum of its proper divisors (14564857248).

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

7437282912 is a wasteful number, since it uses less digits than its factorization.

7437282912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6526 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7437282912 is about 86239.6829307715. The cubic root of 7437282912 is about 1951.9623385863.

The spelling of 7437282912 in words is "seven billion, four hundred thirty-seven million, two hundred eighty-two thousand, nine hundred twelve".