4669077600 has 576 divisors, whose sum is σ = 18891290880. Its totient is φ = 1103155200.

The previous prime is 4669077599. The next prime is 4669077607. The reversal of 4669077600 is 67709664.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4669077607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10216572 + ... + 10217028.

It is an arithmetic number, because the mean of its divisors is an integer number (32797380).

Almost surely, 2^4669077600 is an apocalyptic number.

4669077600 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 4669077600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9445645440).

4669077600 is an abundant number, since it is smaller than the sum of its proper divisors (14222213280).

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

4669077600 is a wasteful number, since it uses less digits than its factorization.

4669077600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4669077600 is about 68330.6490529689. The cubic root of 4669077600 is about 1671.3870413275.

The spelling of 4669077600 in words is "four billion, six hundred sixty-nine million, seventy-seven thousand, six hundred".