1682749440 has 432 divisors, whose sum is σ = 6343482600. Its totient is φ = 411402240.

The previous prime is 1682749427. The next prime is 1682749441. The reversal of 1682749440 is 449472861.

1682749440 is a `hidden beast` number, since 168 + 2 + 7 + 49 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682749441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54282225 + ... + 54282255.

Almost surely, 2^1682749440 is an apocalyptic number.

1682749440 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 1682749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171741300).

1682749440 is an abundant number, since it is smaller than the sum of its proper divisors (4660733160).

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

1682749440 is a wasteful number, since it uses less digits than its factorization.

1682749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1682749440 is about 41021.3290862205. The cubic root of 1682749440 is about 1189.4325472856.

The spelling of 1682749440 in words is "one billion, six hundred eighty-two million, seven hundred forty-nine thousand, four hundred forty".