9217083949920 has 1296 divisors, whose sum is σ = 40308378836544. Its totient is φ = 1910897049600.

The previous prime is 9217083949903. The next prime is 9217083949933. The reversal of 9217083949920 is 299493807129.

9217083949920 is a `hidden beast` number, since 9 + 21 + 70 + 8 + 39 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4926286585 + ... + 4926288455.

It is an arithmetic number, because the mean of its divisors is an integer number (31102144164).

Almost surely, 2^{9217083949920} is an apocalyptic number.

9217083949920 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 9217083949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20154189418272).

9217083949920 is an abundant number, since it is smaller than the sum of its proper divisors (31091294886624).

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

9217083949920 is a wasteful number, since it uses less digits than its factorization.

9217083949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 9217083949920 in words is "nine trillion, two hundred seventeen billion, eighty-three million, nine hundred forty-nine thousand, nine hundred twenty".