1637490816 has 160 divisors (see below), whose sum is σ = 5248435500. Its totient is φ = 503801856.

The previous prime is 1637490793. The next prime is 1637490817. The reversal of 1637490816 is 6180947361.

It is a happy number.

1637490816 is a `hidden beast` number, since 1 + 637 + 4 + 9 + 0 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1608330816 + 29160000 = 40104^2 + 5400^2 .

It is not an unprimeable number, because it can be changed into a prime (1637490817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128710 + ... + 140858.

Almost surely, 2^1637490816 is an apocalyptic number.

1637490816 is a gapful number since it is divisible by the number (16) 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 1637490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624217750).

1637490816 is an abundant number, since it is smaller than the sum of its proper divisors (3610944684).

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

1637490816 is a wasteful number, since it uses less digits than its factorization.

1637490816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1637490816 is about 40465.9216625545. The cubic root of 1637490816 is about 1178.6719752519.

The spelling of 1637490816 in words is "one billion, six hundred thirty-seven million, four hundred ninety thousand, eight hundred sixteen".