92004128640 has 640 divisors, whose sum is σ = 357893316000. Its totient is φ = 22434693120.

The previous prime is 92004128603. The next prime is 92004128651. The reversal of 92004128640 is 4682140029.

92004128640 is a `hidden beast` number, since 9 + 2 + 0 + 0 + 4 + 1 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 92004128595 and 92004128604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28562230 + ... + 28565450.

Almost surely, 2^92004128640 is an apocalyptic number.

92004128640 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 92004128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178946658000).

92004128640 is an abundant number, since it is smaller than the sum of its proper divisors (265889187360).

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

92004128640 is a wasteful number, since it uses less digits than its factorization.

92004128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 92004128640 its reverse (4682140029), we get a palindrome (96686268669).

The spelling of 92004128640 in words is "ninety-two billion, four million, one hundred twenty-eight thousand, six hundred forty".