662782848 has 192 divisors, whose sum is σ = 2180188800. Its totient is φ = 174680064.

The previous prime is 662782831. The next prime is 662782853. The reversal of 662782848 is 848287266.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×662782848² = 878562207205982208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 662782848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453543 + ... + 455001.

It is an arithmetic number, because the mean of its divisors is an integer number (11355150).

Almost surely, 2^662782848 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 662782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090094400).

662782848 is an abundant number, since it is smaller than the sum of its proper divisors (1517405952).

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

662782848 is a wasteful number, since it uses less digits than its factorization.

662782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1484 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 662782848 is about 25744.5692914059. The cubic root of 662782848 is about 871.8807456925.

The spelling of 662782848 in words is "six hundred sixty-two million, seven hundred eighty-two thousand, eight hundred forty-eight".