7106424192 has 384 divisors, whose sum is σ = 24522301440. Its totient is φ = 2006581248.

The previous prime is 7106424187. The next prime is 7106424217. The reversal of 7106424192 is 2914246017.

It is a happy number.

7106424192 is a `hidden beast` number, since 7 + 1 + 0 + 642 + 4 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27651328 + ... + 27651584.

It is an arithmetic number, because the mean of its divisors is an integer number (63860160).

Almost surely, 2^7106424192 is an apocalyptic number.

7106424192 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 7106424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261150720).

7106424192 is an abundant number, since it is smaller than the sum of its proper divisors (17415877248).

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

7106424192 is a wasteful number, since it uses less digits than its factorization.

7106424192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7106424192 is about 84299.6096788117. The cubic root of 7106424192 is about 1922.5768525315.

The spelling of 7106424192 in words is "seven billion, one hundred six million, four hundred twenty-four thousand, one hundred ninety-two".