2733792768 has 480 divisors, whose sum is σ = 9699545856. Its totient is φ = 752467968.

The previous prime is 2733792739. The next prime is 2733792769. The reversal of 2733792768 is 8672973372.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (2733792769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37449180 + ... + 37449252.

Almost surely, 2^2733792768 is an apocalyptic number.

2733792768 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 2733792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849772928).

2733792768 is an abundant number, since it is smaller than the sum of its proper divisors (6965753088).

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

2733792768 is an frugal number, since it uses more digits than its factorization.

2733792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 2733792768 is about 52285.6841592419. The cubic root of 2733792768 is about 1398.2619192802.

The spelling of 2733792768 in words is "two billion, seven hundred thirty-three million, seven hundred ninety-two thousand, seven hundred sixty-eight".