1688761263840 has 384 divisors, whose sum is σ = 6376722444288. Its totient is φ = 367577948160.

The previous prime is 1688761263811. The next prime is 1688761263857. The reversal of 1688761263840 is 483621678861.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5698530 + ... + 5987550.

It is an arithmetic number, because the mean of its divisors is an integer number (16606048032).

Almost surely, 2^{1688761263840} is an apocalyptic number.

1688761263840 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 1688761263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188361222144).

1688761263840 is an abundant number, since it is smaller than the sum of its proper divisors (4687961180448).

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

1688761263840 is a wasteful number, since it uses less digits than its factorization.

1688761263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289130 (or 289122 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 1688761263840 in words is "one trillion, six hundred eighty-eight billion, seven hundred sixty-one million, two hundred sixty-three thousand, eight hundred forty".