9181620000 has 720 divisors, whose sum is σ = 39039628320. Its totient is φ = 2092608000.

The previous prime is 9181619963. The next prime is 9181620001. The reversal of 9181620000 is 261819.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9181620001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26459827 + ... + 26460173.

It is an arithmetic number, because the mean of its divisors is an integer number (54221706).

Almost surely, 2^9181620000 is an apocalyptic number.

9181620000 is a gapful number since it is divisible by the number (90) 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 9181620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519814160).

9181620000 is an abundant number, since it is smaller than the sum of its proper divisors (29858008320).

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

9181620000 is a wasteful number, since it uses less digits than its factorization.

9181620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 9181620000 is about 95820.7701910186. The cubic root of 9181620000 is about 2093.9827750408.

Adding to 9181620000 its reverse (261819), we get a palindrome (9181881819).

The spelling of 9181620000 in words is "nine billion, one hundred eighty-one million, six hundred twenty thousand".