4661582800 has 120 divisors (see below), whose sum is σ = 12830902976. Its totient is φ = 1594321920.

The previous prime is 4661582791. The next prime is 4661582803. The reversal of 4661582800 is 82851664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661582803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277779 + ... + 1281421.

Almost surely, 2^4661582800 is an apocalyptic number.

4661582800 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 4661582800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415451488).

4661582800 is an abundant number, since it is smaller than the sum of its proper divisors (8169320176).

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

4661582800 is a wasteful number, since it uses less digits than its factorization.

4661582800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 4661582800 is about 68275.7848728230. The cubic root of 4661582800 is about 1670.4922592971.

The spelling of 4661582800 in words is "four billion, six hundred sixty-one million, five hundred eighty-two thousand, eight hundred".