4653297600 has 672 divisors, whose sum is σ = 18958072320. Its totient is φ = 975421440.

The previous prime is 4653297599. The next prime is 4653297643. The reversal of 4653297600 is 67923564.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23620702 + ... + 23620898.

Almost surely, 2^4653297600 is an apocalyptic number.

4653297600 is a gapful number since it is divisible by the number (40) 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 4653297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9479036160).

4653297600 is an abundant number, since it is smaller than the sum of its proper divisors (14304774720).

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

4653297600 is a wasteful number, since it uses less digits than its factorization.

4653297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 4653297600 is about 68215.0833760393. The cubic root of 4653297600 is about 1669.5019969173.

It can be divided in two parts, 4653 and 297600, that added together give a triangular number (302253 = T₇₇₇).

The spelling of 4653297600 in words is "four billion, six hundred fifty-three million, two hundred ninety-seven thousand, six hundred".