1680638400 has 252 divisors, whose sum is σ = 6827135952. Its totient is φ = 384122880.

The previous prime is 1680638357. The next prime is 1680638413. The reversal of 1680638400 is 48360861.

It is a happy number.

1680638400 is a `hidden beast` number, since 16 + 8 + 0 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92464 + ... + 109136.

Almost surely, 2^1680638400 is an apocalyptic number.

1680638400 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 1680638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413567976).

1680638400 is an abundant number, since it is smaller than the sum of its proper divisors (5146497552).

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

1680638400 is a wasteful number, since it uses less digits than its factorization.

1680638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16708 (or 16690 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1680638400 is about 40995.5900067312. The cubic root of 1680638400 is about 1188.9349508394.

The spelling of 1680638400 in words is "one billion, six hundred eighty million, six hundred thirty-eight thousand, four hundred".