9204457680 has 400 divisors, whose sum is σ = 35163374400. Its totient is φ = 2212945920.

The previous prime is 9204457673. The next prime is 9204457681. The reversal of 9204457680 is 867544029.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9204457681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9907456 + ... + 9908384.

It is an arithmetic number, because the mean of its divisors is an integer number (87908436).

Almost surely, 2^9204457680 is an apocalyptic number.

9204457680 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 9204457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581687200).

9204457680 is an abundant number, since it is smaller than the sum of its proper divisors (25958916720).

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

9204457680 is a wasteful number, since it uses less digits than its factorization.

9204457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9204457680 is about 95939.8649154771. The cubic root of 9204457680 is about 2095.7174766821.

The spelling of 9204457680 in words is "nine billion, two hundred four million, four hundred fifty-seven thousand, six hundred eighty".