1687082395440 has 160 divisors (see below), whose sum is σ = 5703554949120. Its totient is φ = 410025028608.

The previous prime is 1687082395433. The next prime is 1687082395489. The reversal of 1687082395440 is 445932807861.

It is a happy 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, 3175872 + ... + 3668831.

It is an arithmetic number, because the mean of its divisors is an integer number (35647218432).

It is a 1-persistent number, because it is pandigital, but 2⋅1687082395440 = 3374164790880 is not.

Almost surely, 2^{1687082395440} is an apocalyptic number.

1687082395440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1687082395440 is an abundant number, since it is smaller than the sum of its proper divisors (4016472553680).

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

1687082395440 is a wasteful number, since it uses less digits than its factorization.

1687082395440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844811 (or 6844805 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 1687082395440 in words is "one trillion, six hundred eighty-seven billion, eighty-two million, three hundred ninety-five thousand, four hundred forty".