2723006015064 has 128 divisors (see below), whose sum is σ = 7962898944000. Its totient is φ = 859800189312.

The previous prime is 2723006015063. The next prime is 2723006015077. The reversal of 2723006015064 is 4605106003272.

2723006015064 is a `hidden beast` number, since 27 + 23 + 0 + 0 + 601 + 5 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723006015063) 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, 42473097 + ... + 42537159.

It is an arithmetic number, because the mean of its divisors is an integer number (62210148000).

Almost surely, 2^{2723006015064} is an apocalyptic number.

2723006015064 is a gapful number since it is divisible by the number (24) 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 2723006015064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981449472000).

2723006015064 is an abundant number, since it is smaller than the sum of its proper divisors (5239892928936).

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

2723006015064 is a wasteful number, since it uses less digits than its factorization.

2723006015064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74454 (or 74444 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2723006015064 in words is "two trillion, seven hundred twenty-three billion, six million, fifteen thousand, sixty-four".