493747645628160 has 2304 divisors, whose sum is σ = 2300963438592000. Its totient is φ = 99286522675200.

The previous prime is 493747645628137. The next prime is 493747645628161. The reversal of 493747645628160 is 61826546747394.

493747645628160 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 4 + 7 + 6 + 456 + 2 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493747645628161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4042180207 + ... + 4042302353.

It is an arithmetic number, because the mean of its divisors is an integer number (998682048000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅493747645628160 = 987495291256320, but 3⋅493747645628160 = 1481242936884480 is not.

Almost surely, 2^{493747645628160} is an apocalyptic number.

493747645628160 is a gapful number since it is divisible by the number (40) 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 493747645628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150481719296000).

493747645628160 is an abundant number, since it is smaller than the sum of its proper divisors (1807215792963840).

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

493747645628160 is a wasteful number, since it uses less digits than its factorization.

493747645628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122240 (or 122206 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 493747645628160 in words is "four hundred ninety-three trillion, seven hundred forty-seven billion, six hundred forty-five million, six hundred twenty-eight thousand, one hundred sixty".