62661810816 has 256 divisors, whose sum is σ = 208264089600. Its totient is φ = 18375552000.

The previous prime is 62661810803. The next prime is 62661810823. The reversal of 62661810816 is 61801816626.

62661810816 is a `hidden beast` number, since 6 + 2 + 6 + 618 + 10 + 8 + 16 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1151911 + ... + 1205081.

It is an arithmetic number, because the mean of its divisors is an integer number (813531600).

Almost surely, 2^62661810816 is an apocalyptic number.

62661810816 is a gapful number since it is divisible by the number (66) 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 62661810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104132044800).

62661810816 is an abundant number, since it is smaller than the sum of its proper divisors (145602278784).

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

62661810816 is a wasteful number, since it uses less digits than its factorization.

62661810816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53236 (or 53218 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 62661810816 in words is "sixty-two billion, six hundred sixty-one million, eight hundred ten thousand, eight hundred sixteen".