2007607680 has 448 divisors, whose sum is σ = 7772803920. Its totient is φ = 492687360.

The previous prime is 2007607669. The next prime is 2007607699. The reversal of 2007607680 is 867067002.

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 55 ways as a sum of consecutive naturals, for example, 6065115 + ... + 6065445.

Almost surely, 2^2007607680 is an apocalyptic number.

2007607680 is a gapful number since it is divisible by the number (20) 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 2007607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886401960).

2007607680 is an abundant number, since it is smaller than the sum of its proper divisors (5765196240).

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

2007607680 is an equidigital number, since it uses as much as digits as its factorization.

2007607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2007607680 is about 44806.3352663438. The cubic root of 2007607680 is about 1261.5165412991.

The spelling of 2007607680 in words is "two billion, seven million, six hundred seven thousand, six hundred eighty".