1626688420000 has 480 divisors, whose sum is σ = 4969865134080. Its totient is φ = 511297920000.

The previous prime is 1626688419847. The next prime is 1626688420039. The reversal of 1626688420000 is 248866261.

It is a super-2 number, since 2×1626688420000² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 82450137 + ... + 82469863.

It is an arithmetic number, because the mean of its divisors is an integer number (10353885696).

Almost surely, 2^{1626688420000} is an apocalyptic number.

1626688420000 is a gapful number since it is divisible by the number (10) 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 1626688420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484932567040).

1626688420000 is an abundant number, since it is smaller than the sum of its proper divisors (3343176714080).

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

1626688420000 is a wasteful number, since it uses less digits than its factorization.

1626688420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19814 (or 19791 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 1626688420000 in words is "one trillion, six hundred twenty-six billion, six hundred eighty-eight million, four hundred twenty thousand".