1729640878680 has 512 divisors, whose sum is σ = 6425371008000. Its totient is φ = 366649221120.

The previous prime is 1729640878633. The next prime is 1729640878699. The reversal of 1729640878680 is 868780469271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26342131 + ... + 26407709.

It is an arithmetic number, because the mean of its divisors is an integer number (12549552750).

Almost surely, 2^{1729640878680} is an apocalyptic number.

1729640878680 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 1729640878680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212685504000).

1729640878680 is an abundant number, since it is smaller than the sum of its proper divisors (4695730129320).

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

1729640878680 is a wasteful number, since it uses less digits than its factorization.

1729640878680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65699 (or 65695 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 1729640878680 in words is "one trillion, seven hundred twenty-nine billion, six hundred forty million, eight hundred seventy-eight thousand, six hundred eighty".