2007686968 has 64 divisors (see below), whose sum is σ = 4414233600. Its totient is φ = 838200960.

The previous prime is 2007686957. The next prime is 2007686977. The reversal of 2007686968 is 8696867002.

It is a super-2 number, since 2×2007686968² = 8061613922954066048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601063 + ... + 604393.

It is an arithmetic number, because the mean of its divisors is an integer number (68972400).

Almost surely, 2^2007686968 is an apocalyptic number.

2007686968 is a gapful number since it is divisible by the number (28) 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 2007686968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207116800).

2007686968 is an abundant number, since it is smaller than the sum of its proper divisors (2406546632).

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

2007686968 is a wasteful number, since it uses less digits than its factorization.

2007686968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 2007686968 is about 44807.2200432029. The cubic root of 2007686968 is about 1261.5331484294.

The spelling of 2007686968 in words is "two billion, seven million, six hundred eighty-six thousand, nine hundred sixty-eight".