7137864000000 has 420 divisors, whose sum is σ = 25750378633122. Its totient is φ = 1903411200000.

The previous prime is 7137863999993. The next prime is 7137864000013. The reversal of 7137864000000 is 4687317.

7137864000000 is a `hidden beast` number, since 7 + 1 + 3 + 7 + 8 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 5725721551104 + 1412142448896 = 2392848^2 + 1188336^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71950432 + ... + 72049568.

Almost surely, 2^{7137864000000} 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 7137864000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875189316561).

7137864000000 is an abundant number, since it is smaller than the sum of its proper divisors (18612514633122).

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

7137864000000 is an frugal number, since it uses more digits than its factorization.

7137864000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99191 (or 99147 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 7137864000000 its reverse (4687317), we get a palindrome (7137868687317).

The spelling of 7137864000000 in words is "seven trillion, one hundred thirty-seven billion, eight hundred sixty-four million", and thus it is an aban number.