7268689612800 has 3120 divisors, whose sum is σ = 35394556032000. Its totient is φ = 1428494745600.

The previous prime is 7268689612799. The next prime is 7268689612843. The reversal of 7268689612800 is 82169868627.

7268689612800 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 6 + 8 + 9 + 612 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×7268689612800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12134706901 + ... + 12134707499.

Almost surely, 2^{7268689612800} is an apocalyptic number.

7268689612800 is a gapful number since it is divisible by the number (70) 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 7268689612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697278016000).

7268689612800 is an abundant number, since it is smaller than the sum of its proper divisors (28125866419200).

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

7268689612800 is a wasteful number, since it uses less digits than its factorization.

7268689612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 7268689612800 in words is "seven trillion, two hundred sixty-eight billion, six hundred eighty-nine million, six hundred twelve thousand, eight hundred".