492757017984 has 768 divisors, whose sum is σ = 1818214594560. Its totient is φ = 124382822400.

The previous prime is 492757017931. The next prime is 492757018009. The reversal of 492757017984 is 489710757294.

492757017984 is a `hidden beast` number, since 49 + 2 + 7 + 570 + 17 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754604602 + ... + 754605254.

It is an arithmetic number, because the mean of its divisors is an integer number (2367466920).

Almost surely, 2^492757017984 is an apocalyptic number.

492757017984 is a gapful number since it is divisible by the number (44) 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 492757017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909107297280).

492757017984 is an abundant number, since it is smaller than the sum of its proper divisors (1325457576576).

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

492757017984 is a wasteful number, since it uses less digits than its factorization.

492757017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 492757017984 in words is "four hundred ninety-two billion, seven hundred fifty-seven million, seventeen thousand, nine hundred eighty-four".