662048674560 has 3456 divisors, whose sum is σ = 3276577785600. Its totient is φ = 124853944320.

The previous prime is 662048674519. The next prime is 662048674583. The reversal of 662048674560 is 65476840266.

662048674560 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 4 + 8 + 6 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 662048674497 and 662048674506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10853256930 + ... + 10853256990.

It is an arithmetic number, because the mean of its divisors is an integer number (948083850).

Almost surely, 2^662048674560 is an apocalyptic number.

662048674560 is a gapful number since it is divisible by the number (60) 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 662048674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638288892800).

662048674560 is an abundant number, since it is smaller than the sum of its proper divisors (2614529111040).

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

662048674560 is a wasteful number, since it uses less digits than its factorization.

662048674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 662048674560 in words is "six hundred sixty-two billion, forty-eight million, six hundred seventy-four thousand, five hundred sixty".