662825371680 has 480 divisors, whose sum is σ = 2405640238848. Its totient is φ = 171768729600.

The previous prime is 662825371679. The next prime is 662825371687. The reversal of 662825371680 is 86173528266.

662825371680 is a `hidden beast` number, since 6 + 6 + 28 + 2 + 537 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (662825371687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143996259 + ... + 144000861.

Almost surely, 2^662825371680 is an apocalyptic number.

662825371680 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 662825371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202820119424).

662825371680 is an abundant number, since it is smaller than the sum of its proper divisors (1742814867168).

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

662825371680 is a wasteful number, since it uses less digits than its factorization.

662825371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 662825371680 in words is "six hundred sixty-two billion, eight hundred twenty-five million, three hundred seventy-one thousand, six hundred eighty".