1684778040100 has 81 divisors (see below), whose sum is σ = 3676788346483. Its totient is φ = 670095125440.

The previous prime is 1684778040097. The next prime is 1684778040107. The reversal of 1684778040100 is 10408774861.

The square root of 1684778040100 is 1297990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 266811505444 + 1417966534656 = 516538^2 + 1190784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1684778040107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3803110479 + ... + 3803110921.

Almost surely, 2^{1684778040100} is an apocalyptic number.

1684778040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1684778040100 is the 1297990-th square number.

It is an amenable number.

1684778040100 is an abundant number, since it is smaller than the sum of its proper divisors (1992010306383).

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

1684778040100 is an frugal number, since it uses more digits than its factorization.

1684778040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 1684778040100 in words is "one trillion, six hundred eighty-four billion, seven hundred seventy-eight million, forty thousand, one hundred".