662949785481984 has 8640 divisors, whose sum is σ = 3038719377576960. Its totient is φ = 140601148047360.

The previous prime is 662949785481967. The next prime is 662949785482013. The reversal of 662949785481984 is 489184587949266.

662949785481984 is a `hidden beast` number, since 6 + 6 + 2 + 9 + 49 + 7 + 8 + 5 + 481 + 9 + 84 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 662949785481894 and 662949785481903.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3365227337374 + ... + 3365227337570.

It is an arithmetic number, because the mean of its divisors is an integer number (351703631664).

Almost surely, 2^{662949785481984} is an apocalyptic number.

662949785481984 is a gapful number since it is divisible by the number (64) 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 662949785481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519359688788480).

662949785481984 is an abundant number, since it is smaller than the sum of its proper divisors (2375769592094976).

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

662949785481984 is a wasteful number, since it uses less digits than its factorization.

662949785481984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 328 counting only the distinct ones).

The product of its digits is 60197437440, while the sum is 90.

The spelling of 662949785481984 in words is "six hundred sixty-two trillion, nine hundred forty-nine billion, seven hundred eighty-five million, four hundred eighty-one thousand, nine hundred eighty-four".