65620825920 has 896 divisors, whose sum is σ = 265966041600. Its totient is φ = 15097135104.

The previous prime is 65620825873. The next prime is 65620825927. The reversal of 65620825920 is 2952802656.

65620825920 is a `hidden beast` number, since 6 + 56 + 2 + 0 + 8 + 2 + 592 + 0 = 666.

65620825920 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65620825927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207005602 + ... + 207005918.

It is an arithmetic number, because the mean of its divisors is an integer number (296837100).

Almost surely, 2^65620825920 is an apocalyptic number.

65620825920 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 65620825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132983020800).

65620825920 is an abundant number, since it is smaller than the sum of its proper divisors (200345215680).

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

65620825920 is a wasteful number, since it uses less digits than its factorization.

65620825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 65620825920 in words is "sixty-five billion, six hundred twenty million, eight hundred twenty-five thousand, nine hundred twenty".