4564734900 has 144 divisors (see below), whose sum is σ = 14460199488. Its totient is φ = 1102592000.

The previous prime is 4564734899. The next prime is 4564734907. The reversal of 4564734900 is 94374654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4564734907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964540 + ... + 969260.

It is an arithmetic number, because the mean of its divisors is an integer number (100418052).

Almost surely, 2^4564734900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4564734900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230099744).

4564734900 is an abundant number, since it is smaller than the sum of its proper divisors (9895464588).

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

4564734900 is a wasteful number, since it uses less digits than its factorization.

4564734900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4564734900 is about 67562.8218771241. The cubic root of 4564734900 is about 1658.8426272296.

The spelling of 4564734900 in words is "four billion, five hundred sixty-four million, seven hundred thirty-four thousand, nine hundred".