1638073626 has 96 divisors (see below), whose sum is σ = 3899839680. Its totient is φ = 457228800.

The previous prime is 1638073601. The next prime is 1638073631. The reversal of 1638073626 is 6263708361.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4321905 + ... + 4322283.

It is an arithmetic number, because the mean of its divisors is an integer number (40623330).

Almost surely, 2^1638073626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1638073626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949919840).

1638073626 is an abundant number, since it is smaller than the sum of its proper divisors (2261766054).

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

1638073626 is a wasteful number, since it uses less digits than its factorization.

1638073626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 1638073626 is about 40473.1222665116. The cubic root of 1638073626 is about 1178.8117949332.

The spelling of 1638073626 in words is "one billion, six hundred thirty-eight million, seventy-three thousand, six hundred twenty-six".