4561960800 has 144 divisors (see below), whose sum is σ = 15630874560. Its totient is φ = 1152483840.

The previous prime is 4561960787. The next prime is 4561960807. The reversal of 4561960800 is 80691654.

It is a super-2 number, since 2×4561960800² = 41622972681473280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4561960807) 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, 4422 + ... + 95621.

It is an arithmetic number, because the mean of its divisors is an integer number (108547740).

Almost surely, 2^4561960800 is an apocalyptic number.

4561960800 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 4561960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815437280).

4561960800 is an abundant number, since it is smaller than the sum of its proper divisors (11068913760).

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

4561960800 is a wasteful number, since it uses less digits than its factorization.

4561960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100085 (or 100072 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 4561960800 is about 67542.2889751302. The cubic root of 4561960800 is about 1658.5065195143.

The spelling of 4561960800 in words is "four billion, five hundred sixty-one million, nine hundred sixty thousand, eight hundred".