495677600000 has 864 divisors, whose sum is σ = 1471585812480. Its totient is φ = 164736000000.

The previous prime is 495677599999. The next prime is 495677600027. The reversal of 495677600000 is 6776594.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 6274399961 + ... + 6274400039.

It is an arithmetic number, because the mean of its divisors is an integer number (1703224320).

Almost surely, 2^495677600000 is an apocalyptic number.

495677600000 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 495677600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735792906240).

495677600000 is an abundant number, since it is smaller than the sum of its proper divisors (975908212480).

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

495677600000 is an equidigital number, since it uses as much as digits as its factorization.

495677600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 495677600000 in words is "four hundred ninety-five billion, six hundred seventy-seven million, six hundred thousand".