65461132800 has 480 divisors, whose sum is σ = 274609209600. Its totient is φ = 14961991680.

The previous prime is 65461132799. The next prime is 65461132813. The reversal of 65461132800 is 823116456.

It is a happy number.

65461132800 is a `hidden beast` number, since 6 + 5 + 4 + 611 + 32 + 8 + 0 + 0 = 666.

65461132800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2405671 + ... + 2432729.

It is an arithmetic number, because the mean of its divisors is an integer number (572102520).

Almost surely, 2^65461132800 is an apocalyptic number.

65461132800 is a gapful number since it is divisible by the number (60) 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 65461132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137304604800).

65461132800 is an abundant number, since it is smaller than the sum of its proper divisors (209148076800).

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

65461132800 is a wasteful number, since it uses less digits than its factorization.

65461132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27103 (or 27076 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 65461132800 in words is "sixty-five billion, four hundred sixty-one million, one hundred thirty-two thousand, eight hundred".