632073093120 has 1080 divisors, whose sum is σ = 2646912396744. Its totient is φ = 144473849856.

The previous prime is 632073093073. The next prime is 632073093151. The reversal of 632073093120 is 21390370236.

632073093120 is a `hidden beast` number, since 6 + 32 + 0 + 7 + 309 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 90296156157 + ... + 90296156163.

Almost surely, 2^632073093120 is an apocalyptic number.

632073093120 is a gapful number since it is divisible by the number (60) 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 632073093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323456198372).

632073093120 is an abundant number, since it is smaller than the sum of its proper divisors (2014839303624).

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

632073093120 is an frugal number, since it uses more digits than its factorization.

632073093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 632073093120 in words is "six hundred thirty-two billion, seventy-three million, ninety-three thousand, one hundred twenty".