2763672912 has 720 divisors, whose sum is σ = 11054917440. Its totient is φ = 654635520.

The previous prime is 2763672871. The next prime is 2763672917. The reversal of 2763672912 is 2192763672.

2763672912 is a `hidden beast` number, since 2 + 7 + 636 + 7 + 2 + 9 + 1 + 2 = 666.

It is a super-4 number, since 4×2763672912⁴ (a number of 39 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763672917) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33297223 + ... + 33297305.

It is an arithmetic number, because the mean of its divisors is an integer number (15354052).

Almost surely, 2^2763672912 is an apocalyptic number.

2763672912 is a gapful number since it is divisible by the number (22) 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 2763672912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527458720).

2763672912 is an abundant number, since it is smaller than the sum of its proper divisors (8291244528).

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

2763672912 is a wasteful number, since it uses less digits than its factorization.

2763672912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 2763672912 is about 52570.6468668591. The cubic root of 2763672912 is about 1403.3377693634.

The spelling of 2763672912 in words is "two billion, seven hundred sixty-three million, six hundred seventy-two thousand, nine hundred twelve".