7181991936 has 384 divisors, whose sum is σ = 24536304000. Its totient is φ = 2023096320.

The previous prime is 7181991899. The next prime is 7181991961. The reversal of 7181991936 is 6391991817.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101154781 + ... + 101154851.

It is an arithmetic number, because the mean of its divisors is an integer number (63896625).

Almost surely, 2^7181991936 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 7181991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268152000).

7181991936 is an abundant number, since it is smaller than the sum of its proper divisors (17354312064).

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

7181991936 is an frugal number, since it uses more digits than its factorization.

7181991936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 83 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The square root of 7181991936 is about 84746.6337738556. The cubic root of 7181991936 is about 1929.3675553109.

The spelling of 7181991936 in words is "seven billion, one hundred eighty-one million, nine hundred ninety-one thousand, nine hundred thirty-six".