8205937740 has 1536 divisors, whose sum is σ = 39016857600. Its totient is φ = 1373552640.

The previous prime is 8205937717. The next prime is 8205937781. The reversal of 8205937740 is 477395028.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 174594397 + ... + 174594443.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 2^8205937740 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 8205937740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19508428800).

8205937740 is an abundant number, since it is smaller than the sum of its proper divisors (30810919860).

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

8205937740 is a wasteful number, since it uses less digits than its factorization.

8205937740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 8205937740 is about 90586.6311328554. The cubic root of 8205937740 is about 2017.0162906645.

The spelling of 8205937740 in words is "eight billion, two hundred five million, nine hundred thirty-seven thousand, seven hundred forty".