65623436928 has 480 divisors, whose sum is σ = 227846155680. Its totient is φ = 18442183680.

The previous prime is 65623436927. The next prime is 65623436939. The reversal of 65623436928 is 82963432656.

It is a happy number.

65623436928 is a `hidden beast` number, since 6 + 5 + 623 + 4 + 3 + 6 + 9 + 2 + 8 = 666.

65623436928 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 (54).

It is not an unprimeable number, because it can be changed into a prime (65623436927) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1075794018 + ... + 1075794078.

It is an arithmetic number, because the mean of its divisors is an integer number (474679491).

Almost surely, 2^65623436928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65623436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113923077840).

65623436928 is an abundant number, since it is smaller than the sum of its proper divisors (162222718752).

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

65623436928 is an frugal number, since it uses more digits than its factorization.

65623436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 73 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 65623436928 in words is "sixty-five billion, six hundred twenty-three million, four hundred thirty-six thousand, nine hundred twenty-eight".