4561612800 has 312 divisors, whose sum is σ = 15600906240. Its totient is φ = 1174732800.

The previous prime is 4561612787. The next prime is 4561612801. The reversal of 4561612800 is 82161654.

It is a super-2 number, since 2×4561612800² = 41616622674247680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4561612801) 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, 9522961 + ... + 9523439.

Almost surely, 2^4561612800 is an apocalyptic number.

4561612800 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 4561612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800453120).

4561612800 is an abundant number, since it is smaller than the sum of its proper divisors (11039293440).

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

4561612800 is a wasteful number, since it uses less digits than its factorization.

4561612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 4561612800 is about 67539.7127621964. The cubic root of 4561612800 is about 1658.4643464978.

The spelling of 4561612800 in words is "four billion, five hundred sixty-one million, six hundred twelve thousand, eight hundred".