7342638912 has 168 divisors, whose sum is σ = 25468088256. Its totient is φ = 1974472704.

The previous prime is 7342638883. The next prime is 7342639067. The reversal of 7342638912 is 2198362437.

7342638912 is a `hidden beast` number, since 7 + 3 + 4 + 2 + 638 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×7342638912³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14983 + ... + 122105.

Almost surely, 2^7342638912 is an apocalyptic number.

7342638912 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 7342638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734044128).

7342638912 is an abundant number, since it is smaller than the sum of its proper divisors (18125449344).

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

7342638912 is a wasteful number, since it uses less digits than its factorization.

7342638912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107165 (or 107152 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 7342638912 is about 85689.1995061221. The cubic root of 7342638912 is about 1943.6469917366.

The spelling of 7342638912 in words is "seven billion, three hundred forty-two million, six hundred thirty-eight thousand, nine hundred twelve".