1653630000 has 200 divisors, whose sum is σ = 5824585536. Its totient is φ = 400800000.

The previous prime is 1653629977. The next prime is 1653630007. The reversal of 1653630000 is 363561.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1653630007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327495 + ... + 332505.

Almost surely, 2^1653630000 is an apocalyptic number.

1653630000 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 1653630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912292768).

1653630000 is an abundant number, since it is smaller than the sum of its proper divisors (4170955536).

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

1653630000 is a wasteful number, since it uses less digits than its factorization.

1653630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1653630000 is about 40664.8496861848. The cubic root of 1653630000 is about 1182.5316706531.

Adding to 1653630000 its reverse (363561), we get a palindrome (1653993561).

It can be divided in two parts, 165 and 3630000, that added together give a triangular number (3630165 = T₂₆₉₄).

The spelling of 1653630000 in words is "one billion, six hundred fifty-three million, six hundred thirty thousand".