7826868940800 has 3744 divisors, whose sum is σ = 35481141061632. Its totient is φ = 1504192757760.

The previous prime is 7826868940663. The next prime is 7826868940867. The reversal of 7826868940800 is 80498686287.

It is a happy number.

It is a super-2 number, since 2×7826868940800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166529126377 + ... + 166529126423.

Almost surely, 2^{7826868940800} is an apocalyptic number.

7826868940800 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 7826868940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740570530816).

7826868940800 is an abundant number, since it is smaller than the sum of its proper divisors (27654272120832).

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

7826868940800 is a wasteful number, since it uses less digits than its factorization.

7826868940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

It can be divided in two parts, 78 and 26868940800, that multiplied together give a square (2095777382400 = 1447680²).

The spelling of 7826868940800 in words is "seven trillion, eight hundred twenty-six billion, eight hundred sixty-eight million, nine hundred forty thousand, eight hundred".