1688672264400 has 1920 divisors, whose sum is σ = 7197739315200. Its totient is φ = 371589120000.

The previous prime is 1688672264347. The next prime is 1688672264401. The reversal of 1688672264400 is 44622768861.

It is a happy number.

1688672264400 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 6 + 7 + 226 + 4 + 400 = 666.

It is a super-2 number, since 2×1688672264400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688672264401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6570709072 + ... + 6570709328.

It is an arithmetic number, because the mean of its divisors is an integer number (3748822560).

Almost surely, 2^{1688672264400} is an apocalyptic number.

1688672264400 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 1688672264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598869657600).

1688672264400 is an abundant number, since it is smaller than the sum of its proper divisors (5509067050800).

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

1688672264400 is a wasteful number, since it uses less digits than its factorization.

1688672264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1688672264400 in words is "one trillion, six hundred eighty-eight billion, six hundred seventy-two million, two hundred sixty-four thousand, four hundred".