7742372224 has 64 divisors (see below), whose sum is σ = 15820200000. Its totient is φ = 3772242432.

The previous prime is 7742372221. The next prime is 7742372299. The reversal of 7742372224 is 4222732477.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×7742372224³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742372221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2745087 + ... + 2747905.

It is an arithmetic number, because the mean of its divisors is an integer number (247190625).

Almost surely, 2^7742372224 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 7742372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910100000).

7742372224 is an abundant number, since it is smaller than the sum of its proper divisors (8077827776).

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

7742372224 is a wasteful number, since it uses less digits than its factorization.

7742372224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3363 counting only the distinct ones).

The product of its digits is 263424, while the sum is 40.

The square root of 7742372224 is about 87990.7507866594. The cubic root of 7742372224 is about 1978.2963463317.

The spelling of 7742372224 in words is "seven billion, seven hundred forty-two million, three hundred seventy-two thousand, two hundred twenty-four".