6871499270400 has 216 divisors, whose sum is σ = 22725968507424. Its totient is φ = 1828473651200.

The previous prime is 6871499270399. The next prime is 6871499270413. The reversal of 6871499270400 is 40729941786.

It is a happy number.

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, 8583220 + ... + 9349580.

It is an arithmetic number, because the mean of its divisors is an integer number (105212817164).

Almost surely, 2^{6871499270400} is an apocalyptic number.

6871499270400 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 6871499270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362984253712).

6871499270400 is an abundant number, since it is smaller than the sum of its proper divisors (15854469237024).

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

6871499270400 is a wasteful number, since it uses less digits than its factorization.

6871499270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766857 (or 766838 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 6871499270400 in words is "six trillion, eight hundred seventy-one billion, four hundred ninety-nine million, two hundred seventy thousand, four hundred".