62772819648 has 280 divisors, whose sum is σ = 211387212480. Its totient is φ = 16303311360.

The previous prime is 62772819631. The next prime is 62772819661. The reversal of 62772819648 is 84691827726.

It is a happy number.

62772819648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 62772819591 and 62772819600.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5064723 + ... + 5077101.

Almost surely, 2^62772819648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62772819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105693606240).

62772819648 is an abundant number, since it is smaller than the sum of its proper divisors (148614392832).

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

62772819648 is a wasteful number, since it uses less digits than its factorization.

62772819648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12402 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The spelling of 62772819648 in words is "sixty-two billion, seven hundred seventy-two million, eight hundred nineteen thousand, six hundred forty-eight".