2688012768 has 96 divisors (see below), whose sum is σ = 8161364736. Its totient is φ = 758734848.

The previous prime is 2688012757. The next prime is 2688012779. The reversal of 2688012768 is 8672108862.

It is an interprime number because it is at equal distance from previous prime (2688012757) and next prime (2688012779).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 31680 + ... + 79872.

It is an arithmetic number, because the mean of its divisors is an integer number (85014216).

Almost surely, 2^2688012768 is an apocalyptic number.

2688012768 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 2688012768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080682368).

2688012768 is an abundant number, since it is smaller than the sum of its proper divisors (5473351968).

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

2688012768 is a wasteful number, since it uses less digits than its factorization.

2688012768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48296 (or 48288 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 2688012768 is about 51846.0487211899. The cubic root of 2688012768 is about 1390.4128594346.

The spelling of 2688012768 in words is "two billion, six hundred eighty-eight million, twelve thousand, seven hundred sixty-eight".