7962638112 has 576 divisors, whose sum is σ = 28233878400. Its totient is φ = 2095349760.

The previous prime is 7962638093. The next prime is 7962638113. The reversal of 7962638112 is 2118362697.

7962638112 is a `hidden beast` number, since 7 + 9 + 6 + 2 + 638 + 1 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (7962638113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70465768 + ... + 70465880.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^7962638112 is an apocalyptic number.

7962638112 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 7962638112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

7962638112 is an abundant number, since it is smaller than the sum of its proper divisors (20271240288).

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

7962638112 is a wasteful number, since it uses less digits than its factorization.

7962638112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 7962638112 is about 89233.6153699938. The cubic root of 7962638112 is about 1996.8816498063.

The spelling of 7962638112 in words is "seven billion, nine hundred sixty-two million, six hundred thirty-eight thousand, one hundred twelve".