1688934920400 has 3600 divisors, whose sum is σ = 8239950734400. Its totient is φ = 327323566080.

The previous prime is 1688934920389. The next prime is 1688934920471. The reversal of 1688934920400 is 40294398861.

1688934920400 is a `hidden beast` number, since 1 + 68 + 8 + 93 + 4 + 92 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 23136094764 + ... + 23136094836.

It is an arithmetic number, because the mean of its divisors is an integer number (2288875204).

Almost surely, 2^{1688934920400} is an apocalyptic number.

1688934920400 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 1688934920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119975367200).

1688934920400 is an abundant number, since it is smaller than the sum of its proper divisors (6551015814000).

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

1688934920400 is a wasteful number, since it uses less digits than its factorization.

1688934920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1688934920400 in words is "one trillion, six hundred eighty-eight billion, nine hundred thirty-four million, nine hundred twenty thousand, four hundred".