7106641920 has 840 divisors, whose sum is σ = 30943581984. Its totient is φ = 1528823808.

The previous prime is 7106641879. The next prime is 7106641931. The reversal of 7106641920 is 291466017.

7106641920 is a `hidden beast` number, since 7 + 1 + 0 + 6 + 641 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418037752 + ... + 418037768.

Almost surely, 2^7106641920 is an apocalyptic number.

7106641920 is a gapful number since it is divisible by the number (70) 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 7106641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471790992).

7106641920 is an abundant number, since it is smaller than the sum of its proper divisors (23836940064).

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

7106641920 is an frugal number, since it uses more digits than its factorization.

7106641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

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

The square root of 7106641920 is about 84300.9010628000. The cubic root of 7106641920 is about 1922.5964870915.

The spelling of 7106641920 in words is "seven billion, one hundred six million, six hundred forty-one thousand, nine hundred twenty".