6713506800000 has 5376 divisors, whose sum is σ = 35115842442240. Its totient is φ = 1231718400000.

The previous prime is 6713506799969. The next prime is 6713506800071. The reversal of 6713506800000 is 86053176.

6713506800000 is a `hidden beast` number, since 6 + 71 + 3 + 506 + 80 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 291891599989 + ... + 291891600011.

It is an arithmetic number, because the mean of its divisors is an integer number (6531964740).

Almost surely, 2^{6713506800000} is an apocalyptic number.

6713506800000 is a gapful number since it is divisible by the number (60) 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 6713506800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557921221120).

6713506800000 is an abundant number, since it is smaller than the sum of its proper divisors (28402335642240).

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

6713506800000 is an equidigital number, since it uses as much as digits as its factorization.

6713506800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 6713506800000 in words is "six trillion, seven hundred thirteen billion, five hundred six million, eight hundred thousand".