7934181120 has 576 divisors, whose sum is σ = 30434342400. Its totient is φ = 1950842880.

The previous prime is 7934181103. The next prime is 7934181121. The reversal of 7934181120 is 211814397.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7934181121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28235380 + ... + 28235660.

It is an arithmetic number, because the mean of its divisors is an integer number (52837400).

Almost surely, 2^7934181120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7934181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217171200).

7934181120 is an abundant number, since it is smaller than the sum of its proper divisors (22500161280).

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

7934181120 is a wasteful number, since it uses less digits than its factorization.

7934181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7934181120 is about 89074.0204549003. The cubic root of 7934181120 is about 1994.4999820996.

It can be divided in two parts, 79341 and 81120, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 7934181120 in words is "seven billion, nine hundred thirty-four million, one hundred eighty-one thousand, one hundred twenty".