6866666957520 has 480 divisors, whose sum is σ = 24810434887680. Its totient is φ = 1696806558720.

The previous prime is 6866666957471. The next prime is 6866666957567. The reversal of 6866666957520 is 257596666686.

It is a happy number.

It is a super-2 number, since 2×6866666957520² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123324727 + ... + 123380393.

It is an arithmetic number, because the mean of its divisors is an integer number (51688406016).

Almost surely, 2^{6866666957520} is an apocalyptic number.

6866666957520 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 6866666957520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12405217443840).

6866666957520 is an abundant number, since it is smaller than the sum of its proper divisors (17943767930160).

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

6866666957520 is a wasteful number, since it uses less digits than its factorization.

6866666957520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55903 (or 55894 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 6866666957520 in words is "six trillion, eight hundred sixty-six billion, six hundred sixty-six million, nine hundred fifty-seven thousand, five hundred twenty".