673262853120 has 1056 divisors, whose sum is σ = 2775950521344. Its totient is φ = 148724121600.

The previous prime is 673262853073. The next prime is 673262853139. The reversal of 673262853120 is 21358262376.

673262853120 is a `hidden beast` number, since 6 + 7 + 3 + 2 + 628 + 5 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 546922905 + ... + 546924135.

It is an arithmetic number, because the mean of its divisors is an integer number (2628741024).

Almost surely, 2^673262853120 is an apocalyptic number.

673262853120 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 673262853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387975260672).

673262853120 is an abundant number, since it is smaller than the sum of its proper divisors (2102687668224).

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

673262853120 is a wasteful number, since it uses less digits than its factorization.

673262853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 673262853120 in words is "six hundred seventy-three billion, two hundred sixty-two million, eight hundred fifty-three thousand, one hundred twenty".