65620828800 has 288 divisors, whose sum is σ = 242227381500. Its totient is φ = 16895262720.

The previous prime is 65620828729. The next prime is 65620828813. The reversal of 65620828800 is 882802656.

65620828800 is a `hidden beast` number, since 6 + 562 + 0 + 8 + 2 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 46583452224 + 19037376576 = 215832^2 + 137976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 795916 + ... + 874484.

Almost surely, 2^65620828800 is an apocalyptic number.

65620828800 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 65620828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121113690750).

65620828800 is an abundant number, since it is smaller than the sum of its proper divisors (176606552700).

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

65620828800 is a wasteful number, since it uses less digits than its factorization.

65620828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78628 (or 78608 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 65620828800 in words is "sixty-five billion, six hundred twenty million, eight hundred twenty-eight thousand, eight hundred".