4613734400 has 150 divisors (see below), whose sum is σ = 12482248332. Its totient is φ = 1677721600.

The previous prime is 4613734373. The next prime is 4613734403. The reversal of 4613734400 is 44373164.

It is a super-2 number, since 2×4613734400² = 42573090227486720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4613734403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 419430395 + ... + 419430405.

Almost surely, 2^4613734400 is an apocalyptic number.

4613734400 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 4613734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241124166).

4613734400 is an abundant number, since it is smaller than the sum of its proper divisors (7868513932).

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

4613734400 is an frugal number, since it uses more digits than its factorization.

4613734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 4613734400 is about 67924.4757064786. The cubic root of 4613734400 is about 1664.7570519698.

The spelling of 4613734400 in words is "four billion, six hundred thirteen million, seven hundred thirty-four thousand, four hundred".