1626000768 has 384 divisors, whose sum is σ = 5871528000. Its totient is φ = 421134336.

The previous prime is 1626000743. The next prime is 1626000769. The reversal of 1626000768 is 8670006261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1626000769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3975348 + ... + 3975756.

Almost surely, 2^1626000768 is an apocalyptic number.

1626000768 is a gapful number since it is divisible by the number (18) 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 1626000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935764000).

1626000768 is an abundant number, since it is smaller than the sum of its proper divisors (4245527232).

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

1626000768 is a wasteful number, since it uses less digits than its factorization.

1626000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1626000768 is about 40323.6998302487. The cubic root of 1626000768 is about 1175.9086420770.

The spelling of 1626000768 in words is "one billion, six hundred twenty-six million, seven hundred sixty-eight", and thus it is an aban number.