9730854997920 has 1920 divisors, whose sum is σ = 42109801316352. Its totient is φ = 2069286912000.

The previous prime is 9730854997901. The next prime is 9730854997921. The reversal of 9730854997920 is 297994580379.

9730854997920 is a `hidden beast` number, since 9 + 7 + 3 + 0 + 8 + 549 + 9 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9730854997921) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8102293320 + ... + 8102294520.

Almost surely, 2^{9730854997920} is an apocalyptic number.

9730854997920 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 9730854997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21054900658176).

9730854997920 is an abundant number, since it is smaller than the sum of its proper divisors (32378946318432).

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

9730854997920 is a wasteful number, since it uses less digits than its factorization.

9730854997920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 9730854997920 in words is "nine trillion, seven hundred thirty billion, eight hundred fifty-four million, nine hundred ninety-seven thousand, nine hundred twenty".