1681075679640 has 256 divisors, whose sum is σ = 5796639313920. Its totient is φ = 382053888000.

The previous prime is 1681075679581. The next prime is 1681075679641. The reversal of 1681075679640 is 469765701861.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681075679641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146980002 + ... + 146991438.

It is an arithmetic number, because the mean of its divisors is an integer number (22643122320).

Almost surely, 2^{1681075679640} is an apocalyptic number.

1681075679640 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 1681075679640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898319656960).

1681075679640 is an abundant number, since it is smaller than the sum of its proper divisors (4115563634280).

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

1681075679640 is a wasteful number, since it uses less digits than its factorization.

1681075679640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 1681075679640 in words is "one trillion, six hundred eighty-one billion, seventy-five million, six hundred seventy-nine thousand, six hundred forty".