1680436368 has 120 divisors (see below), whose sum is σ = 5252386048. Its totient is φ = 517041792.

The previous prime is 1680436367. The next prime is 1680436369. The reversal of 1680436368 is 8636340861.

1680436368 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 4 + 3 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1680436367) and next prime (1680436369).

It is not an unprimeable number, because it can be changed into a prime (1680436367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33921 + ... + 67167.

Almost surely, 2^1680436368 is an apocalyptic number.

1680436368 is a gapful number since it is divisible by the number (18) 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 1680436368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626193024).

1680436368 is an abundant number, since it is smaller than the sum of its proper divisors (3571949680).

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

1680436368 is a wasteful number, since it uses less digits than its factorization.

1680436368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33283 (or 33265 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1680436368 is about 40993.1258627590. The cubic root of 1680436368 is about 1188.8873077272.

The spelling of 1680436368 in words is "one billion, six hundred eighty million, four hundred thirty-six thousand, three hundred sixty-eight".