9741321216 has 264 divisors, whose sum is σ = 30883236384. Its totient is φ = 2932899840.

The previous prime is 9741321173. The next prime is 9741321253. The reversal of 9741321216 is 6121231479.

9741321216 is a `hidden beast` number, since 9 + 7 + 413 + 21 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

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, 31122276 + ... + 31122588.

It is an arithmetic number, because the mean of its divisors is an integer number (116981956).

Almost surely, 2^9741321216 is an apocalyptic number.

9741321216 is a gapful number since it is divisible by the number (96) 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 9741321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441618192).

9741321216 is an abundant number, since it is smaller than the sum of its proper divisors (21141915168).

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

9741321216 is a wasteful number, since it uses less digits than its factorization.

9741321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 636 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9741321216 is about 98698.1317756319. The cubic root of 9741321216 is about 2135.6952811957.

The spelling of 9741321216 in words is "nine billion, seven hundred forty-one million, three hundred twenty-one thousand, two hundred sixteen".