1662935408640 has 2016 divisors, whose sum is σ = 7063945922880. Its totient is φ = 370598215680.

The previous prime is 1662935408639. The next prime is 1662935408689. The reversal of 1662935408640 is 468045392661.

1662935408640 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 93 + 540 + 8 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38672916459 + ... + 38672916501.

It is an arithmetic number, because the mean of its divisors is an integer number (3503941430).

Almost surely, 2^{1662935408640} is an apocalyptic number.

1662935408640 is a gapful number since it is divisible by the number (10) 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 1662935408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531972961440).

1662935408640 is an abundant number, since it is smaller than the sum of its proper divisors (5401010514240).

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

1662935408640 is a wasteful number, since it uses less digits than its factorization.

1662935408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1662935408640 in words is "one trillion, six hundred sixty-two billion, nine hundred thirty-five million, four hundred eight thousand, six hundred forty".