495719626752 has 768 divisors, whose sum is σ = 1726981401600. Its totient is φ = 139314069504.

The previous prime is 495719626693. The next prime is 495719626813. The reversal of 495719626752 is 257626917594.

495719626752 is a `hidden beast` number, since 4 + 9 + 571 + 9 + 6 + 2 + 6 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a self number, because there is not a number n which added to its sum of digits gives 495719626752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3041224623 + ... + 3041224785.

It is an arithmetic number, because the mean of its divisors is an integer number (2248673700).

Almost surely, 2^495719626752 is an apocalyptic number.

495719626752 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 495719626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863490700800).

495719626752 is an abundant number, since it is smaller than the sum of its proper divisors (1231261774848).

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

495719626752 is an frugal number, since it uses more digits than its factorization.

495719626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 272 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 495719626752 in words is "four hundred ninety-five billion, seven hundred nineteen million, six hundred twenty-six thousand, seven hundred fifty-two".