1681761350640 has 160 divisors (see below), whose sum is σ = 5958873607680. Its totient is φ = 384361731072.

The previous prime is 1681761350579. The next prime is 1681761350657. The reversal of 1681761350640 is 460531671861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1681761350640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17472727 + ... + 17568713.

It is an arithmetic number, because the mean of its divisors is an integer number (37242960048).

Almost surely, 2^{1681761350640} is an apocalyptic number.

1681761350640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681761350640 is an abundant number, since it is smaller than the sum of its proper divisors (4277112257040).

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

1681761350640 is a wasteful number, since it uses less digits than its factorization.

1681761350640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106439 (or 106433 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1681761350640 in words is "one trillion, six hundred eighty-one billion, seven hundred sixty-one million, three hundred fifty thousand, six hundred forty".