493932764160 has 1584 divisors, whose sum is σ = 2076329874528. Its totient is φ = 112113745920.

The previous prime is 493932764147. The next prime is 493932764173. The reversal of 493932764160 is 61467239394.

It is a happy number.

493932764160 is a `hidden beast` number, since 493 + 9 + 32 + 7 + 64 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (493932764147) and next prime (493932764173).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 493932764097 and 493932764106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2559237024 + ... + 2559237216.

Almost surely, 2^493932764160 is an apocalyptic number.

493932764160 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 493932764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038164937264).

493932764160 is an abundant number, since it is smaller than the sum of its proper divisors (1582397110368).

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

493932764160 is a wasteful number, since it uses less digits than its factorization.

493932764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 493932764160 in words is "four hundred ninety-three billion, nine hundred thirty-two million, seven hundred sixty-four thousand, one hundred sixty".