1626003121680 has 640 divisors, whose sum is σ = 6524108144640. Its totient is φ = 364531415040.

The previous prime is 1626003121651. The next prime is 1626003121681. The reversal of 1626003121680 is 861213006261.

It is a happy number.

1626003121680 is a `hidden beast` number, since 1 + 6 + 2 + 600 + 31 + 2 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1626003121681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 353246259 + ... + 353250861.

It is an arithmetic number, because the mean of its divisors is an integer number (10193918976).

Almost surely, 2^{1626003121680} is an apocalyptic number.

1626003121680 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 1626003121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262054072320).

1626003121680 is an abundant number, since it is smaller than the sum of its proper divisors (4898105022960).

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

1626003121680 is a wasteful number, since it uses less digits than its factorization.

1626003121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1626003121680 in words is "one trillion, six hundred twenty-six billion, three million, one hundred twenty-one thousand, six hundred eighty".