1663006400 has 168 divisors, whose sum is σ = 4540148400. Its totient is φ = 594432000.

The previous prime is 1663006399. The next prime is 1663006447. The reversal of 1663006400 is 46003661.

It is a self number, because there is not a number n which added to its sum of digits gives 1663006400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072826 + ... + 1074374.

Almost surely, 2^1663006400 is an apocalyptic number.

1663006400 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 1663006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270074200).

1663006400 is an abundant number, since it is smaller than the sum of its proper divisors (2877142000).

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

1663006400 is a wasteful number, since it uses less digits than its factorization.

1663006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1663006400 is about 40779.9754781682. The cubic root of 1663006400 is about 1184.7625201382.

The spelling of 1663006400 in words is "one billion, six hundred sixty-three million, six thousand, four hundred".