495657792000 has 1920 divisors, whose sum is σ = 2202774013440. Its totient is φ = 108689817600.

The previous prime is 495657791969. The next prime is 495657792011. The reversal of 495657792000 is 297756594.

495657792000 is a `hidden beast` number, since 4 + 9 + 565 + 7 + 79 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3157055922 + ... + 3157056078.

It is an arithmetic number, because the mean of its divisors is an integer number (1147278132).

Almost surely, 2^495657792000 is an apocalyptic number.

495657792000 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 495657792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101387006720).

495657792000 is an abundant number, since it is smaller than the sum of its proper divisors (1707116221440).

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

495657792000 is an equidigital number, since it uses as much as digits as its factorization.

495657792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 495657792000 in words is "four hundred ninety-five billion, six hundred fifty-seven million, seven hundred ninety-two thousand".