7183537687872 has 672 divisors, whose sum is σ = 25789357112064. Its totient is φ = 1861263360000.

The previous prime is 7183537687829. The next prime is 7183537687913. The reversal of 7183537687872 is 2787867353817.

7183537687872 is a `hidden beast` number, since 7 + 1 + 8 + 3 + 537 + 6 + 8 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7183537687872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408258122 + ... + 1408263222.

It is an arithmetic number, because the mean of its divisors is an integer number (38377019512).

Almost surely, 2^{7183537687872} is an apocalyptic number.

7183537687872 is a gapful number since it is divisible by the number (72) 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 7183537687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894678556032).

7183537687872 is an abundant number, since it is smaller than the sum of its proper divisors (18605819424192).

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

7183537687872 is a wasteful number, since it uses less digits than its factorization.

7183537687872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5594 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

The spelling of 7183537687872 in words is "seven trillion, one hundred eighty-three billion, five hundred thirty-seven million, six hundred eighty-seven thousand, eight hundred seventy-two".