9061815840 has 576 divisors, whose sum is σ = 37066014720. Its totient is φ = 1819699200.

The previous prime is 9061815827. The next prime is 9061815869. The reversal of 9061815840 is 485181609.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9061815792 and 9061815801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12603001 + ... + 12603719.

It is an arithmetic number, because the mean of its divisors is an integer number (64350720).

Almost surely, 2^9061815840 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 9061815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

9061815840 is an abundant number, since it is smaller than the sum of its proper divisors (28004198880).

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

9061815840 is a wasteful number, since it uses less digits than its factorization.

9061815840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 9061815840 is about 95193.5703711128. The cubic root of 9061815840 is about 2084.8352623611.

The spelling of 9061815840 in words is "nine billion, sixty-one million, eight hundred fifteen thousand, eight hundred forty".