673712640000 has 1365 divisors, whose sum is σ = 2663993111043. Its totient is φ = 170201088000.

The previous prime is 673712639989. The next prime is 673712640001. The reversal of 673712640000 is 46217376.

The square root of 673712640000 is 820800.

It is a perfect power (a square), and thus also a powerful number.

673712640000 is a `hidden beast` number, since 6 + 7 + 3 + 7 + 1 + 2 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52819070976 + 620893569024 = 229824^2 + 787968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (673712640001) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 35458559991 + ... + 35458560009.

Almost surely, 2^673712640000 is an apocalyptic number.

673712640000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

673712640000 is the 820800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673712640000

673712640000 is an abundant number, since it is smaller than the sum of its proper divisors (1990280471043).

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

673712640000 is an frugal number, since it uses more digits than its factorization.

673712640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Multiplying 673712640000 by its sum of digits (36), we get a square (24253655040000 = 4924800²).

673712640000 divided by its sum of digits (36) gives a square (18714240000 = 136800²).

Adding to 673712640000 its reverse (46217376), we get a palindrome (673758857376).

The spelling of 673712640000 in words is "six hundred seventy-three billion, seven hundred twelve million, six hundred forty thousand".