6815748466800 has 3360 divisors, whose sum is σ = 33160863818880. Its totient is φ = 1304277811200.

The previous prime is 6815748466789. The next prime is 6815748466811. The reversal of 6815748466800 is 86648475186.

6815748466800 is a `hidden beast` number, since 6 + 8 + 1 + 57 + 48 + 466 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6815748466789) and next prime (6815748466811).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 13082050540 + ... + 13082051060.

It is an arithmetic number, because the mean of its divisors is an integer number (9869304708).

Almost surely, 2^{6815748466800} is an apocalyptic number.

6815748466800 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 6815748466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580431909440).

6815748466800 is an abundant number, since it is smaller than the sum of its proper divisors (26345115352080).

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

6815748466800 is a wasteful number, since it uses less digits than its factorization.

6815748466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 6815748466800 in words is "six trillion, eight hundred fifteen billion, seven hundred forty-eight million, four hundred sixty-six thousand, eight hundred".