9204397377120 has 480 divisors, whose sum is σ = 36105580859040. Its totient is φ = 2189265960960.

The previous prime is 9204397377101. The next prime is 9204397377121. The reversal of 9204397377120 is 217737934029.

9204397377120 is a `hidden beast` number, since 9 + 20 + 43 + 97 + 377 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×9204397377120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9204397377121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6946576 + ... + 8164784.

It is an arithmetic number, because the mean of its divisors is an integer number (75219960123).

Almost surely, 2^{9204397377120} is an apocalyptic number.

9204397377120 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 9204397377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052790429520).

9204397377120 is an abundant number, since it is smaller than the sum of its proper divisors (26901183481920).

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

9204397377120 is a wasteful number, since it uses less digits than its factorization.

9204397377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218300 (or 1218283 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 9204397377120 in words is "nine trillion, two hundred four billion, three hundred ninety-seven million, three hundred seventy-seven thousand, one hundred twenty".