495915674671872 has 3456 divisors, whose sum is σ = 1952129538777600. Its totient is φ = 119859786547200.

The previous prime is 495915674671817. The next prime is 495915674671903. The reversal of 495915674671872 is 278176476519594.

495915674671872 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 1 + 567 + 46 + 7 + 1 + 8 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 495915674671791 and 495915674671800.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1236697442872 + ... + 1236697443272.

It is an arithmetic number, because the mean of its divisors is an integer number (564852297100).

Almost surely, 2^{495915674671872} is an apocalyptic number.

495915674671872 is a gapful number since it is divisible by the number (42) 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 495915674671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976064769388800).

495915674671872 is an abundant number, since it is smaller than the sum of its proper divisors (1456213864105728).

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

495915674671872 is a wasteful number, since it uses less digits than its factorization.

495915674671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 613 counting only the distinct ones).

The product of its digits is 6401203200, while the sum is 81.

The spelling of 495915674671872 in words is "four hundred ninety-five trillion, nine hundred fifteen billion, six hundred seventy-four million, six hundred seventy-one thousand, eight hundred seventy-two".