495178342424640 has 672 divisors, whose sum is σ = 2019076338150144. Its totient is φ = 113157805178880.

The previous prime is 495178342424587. The next prime is 495178342424741. The reversal of 495178342424640 is 46424243871594.

495178342424640 is a `hidden beast` number, since 4 + 9 + 5 + 1 + 7 + 8 + 342 + 4 + 246 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 2438996412 + ... + 2439199428.

It is an arithmetic number, because the mean of its divisors is an integer number (3004577884152).

It is a 1-persistent number, because it is pandigital, but 2⋅495178342424640 = 990356684849280 is not.

Almost surely, 2^{495178342424640} is an apocalyptic number.

495178342424640 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 495178342424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009538169075072).

495178342424640 is an abundant number, since it is smaller than the sum of its proper divisors (1523897995725504).

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

495178342424640 is a wasteful number, since it uses less digits than its factorization.

495178342424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207537 (or 207515 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 495178342424640 in words is "four hundred ninety-five trillion, one hundred seventy-eight billion, three hundred forty-two million, four hundred twenty-four thousand, six hundred forty".