2793537478944 has 144 divisors (see below), whose sum is σ = 8504102880000. Its totient is φ = 901141044480.

The previous prime is 2793537478943. The next prime is 2793537478951. The reversal of 2793537478944 is 4498747353972.

2793537478944 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 537 + 4 + 7 + 89 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2793537478943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5553319 + ... + 6035430.

It is an arithmetic number, because the mean of its divisors is an integer number (59056270000).

Almost surely, 2^{2793537478944} is an apocalyptic number.

2793537478944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2793537478944 is an abundant number, since it is smaller than the sum of its proper divisors (5710565401056).

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

2793537478944 is a wasteful number, since it uses less digits than its factorization.

2793537478944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11588805 (or 11588785 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

It can be divided in two parts, 2793537 and 478944, that added together give a square (3272481 = 1809²).

The spelling of 2793537478944 in words is "two trillion, seven hundred ninety-three billion, five hundred thirty-seven million, four hundred seventy-eight thousand, nine hundred forty-four".