65061964800 has 1584 divisors, whose sum is σ = 296887381920. Its totient is φ = 13872660480.

The previous prime is 65061964787. The next prime is 65061964823. The reversal of 65061964800 is 846916056.

65061964800 is a `hidden beast` number, since 6 + 506 + 1 + 9 + 64 + 80 + 0 = 666.

65061964800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 575769544 + ... + 575769656.

Almost surely, 2^65061964800 is an apocalyptic number.

65061964800 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 65061964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148443690960).

65061964800 is an abundant number, since it is smaller than the sum of its proper divisors (231825417120).

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

65061964800 is a wasteful number, since it uses less digits than its factorization.

65061964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65061964800 in words is "sixty-five billion, sixty-one million, nine hundred sixty-four thousand, eight hundred".