65812423680 has 528 divisors, whose sum is σ = 249864516720. Its totient is φ = 15942549504.

The previous prime is 65812423673. The next prime is 65812423711. The reversal of 65812423680 is 8632421856.

65812423680 is a `hidden beast` number, since 6 + 581 + 2 + 4 + 2 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1141899264 + 64670524416 = 33792^2 + 254304^2 .

It is a super-2 number, since 2×65812423680² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22715992 + ... + 22718888.

Almost surely, 2^65812423680 is an apocalyptic number.

65812423680 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 65812423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124932258360).

65812423680 is an abundant number, since it is smaller than the sum of its proper divisors (184052093040).

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

65812423680 is a wasteful number, since it uses less digits than its factorization.

65812423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 65812423680 in words is "sixty-five billion, eight hundred twelve million, four hundred twenty-three thousand, six hundred eighty".