7391642112 has 240 divisors, whose sum is σ = 22521058560. Its totient is φ = 2329214976.

The previous prime is 7391642099. The next prime is 7391642117. The reversal of 7391642112 is 2112461937.

7391642112 is a `hidden beast` number, since 7 + 3 + 9 + 1 + 642 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×7391642112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7391642117) 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 23 ways as a sum of consecutive naturals, for example, 10280089 + ... + 10280807.

It is an arithmetic number, because the mean of its divisors is an integer number (93837744).

Almost surely, 2^7391642112 is an apocalyptic number.

7391642112 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 7391642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260529280).

7391642112 is an abundant number, since it is smaller than the sum of its proper divisors (15129416448).

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

7391642112 is a wasteful number, since it uses less digits than its factorization.

7391642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7391642112 is about 85974.6597085444. The cubic root of 7391642112 is about 1947.9612364336.

The spelling of 7391642112 in words is "seven billion, three hundred ninety-one million, six hundred forty-two thousand, one hundred twelve".