62468004096 has 243 divisors, whose sum is σ = 186075817473. Its totient is φ = 20154839040.

The previous prime is 62468004073. The next prime is 62468004113. The reversal of 62468004096 is 69040086426.

The square root of 62468004096 is 249936.

It is a perfect power (a square), and thus also a powerful number.

62468004096 is a `hidden beast` number, since 62 + 468 + 0 + 0 + 40 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3010058496 + 59457945600 = 54864^2 + 243840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 491873985 + ... + 491874111.

Almost surely, 2^62468004096 is an apocalyptic number.

62468004096 is the 249936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62468004096

62468004096 is an abundant number, since it is smaller than the sum of its proper divisors (123607813377).

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

62468004096 is an equidigital number, since it uses as much as digits as its factorization.

62468004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 62468004096 in words is "sixty-two billion, four hundred sixty-eight million, four thousand, ninety-six".