2723467121640 has 96 divisors (see below), whose sum is σ = 8854850202120. Its totient is φ = 725963986944.

The previous prime is 2723467121591. The next prime is 2723467121723. The reversal of 2723467121640 is 461217643272.

2723467121640 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 467 + 121 + 64 + 0 = 666.

2723467121640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2617231541796 + 106235579844 = 1617786^2 + 325938^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639277 + ... + 2419836.

Almost surely, 2^{2723467121640} is an apocalyptic number.

2723467121640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2723467121640 is an abundant number, since it is smaller than the sum of its proper divisors (6131383080480).

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

2723467121640 is a wasteful number, since it uses less digits than its factorization.

2723467121640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061603 (or 3061596 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2723467121640 in words is "two trillion, seven hundred twenty-three billion, four hundred sixty-seven million, one hundred twenty-one thousand, six hundred forty".