2733785860064 has 192 divisors, whose sum is σ = 6338050250112. Its totient is φ = 1136354918400.

The previous prime is 2733785860019. The next prime is 2733785860067. The reversal of 2733785860064 is 4600685873372.

It is a junction number, because it is equal to n+sod(n) for n = 2733785859985 and 2733785860012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733785860067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313687504 + ... + 1313689584.

It is an arithmetic number, because the mean of its divisors is an integer number (33010678386).

Almost surely, 2^{2733785860064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2733785860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169025125056).

2733785860064 is an abundant number, since it is smaller than the sum of its proper divisors (3604264390048).

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

2733785860064 is a wasteful number, since it uses less digits than its factorization.

2733785860064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 59.

The spelling of 2733785860064 in words is "two trillion, seven hundred thirty-three billion, seven hundred eighty-five million, eight hundred sixty thousand, sixty-four".