65582774460 has 288 divisors, whose sum is σ = 235670722560. Its totient is φ = 14451554304.

The previous prime is 65582774459. The next prime is 65582774461. The reversal of 65582774460 is 6447728556.

It is a happy number.

65582774460 is a `hidden beast` number, since 6 + 55 + 82 + 77 + 446 + 0 = 666.

65582774460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65582774459) and next prime (65582774461).

It is a super-2 number, since 2×65582774460² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65582774397 and 65582774406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65582774461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3959476 + ... + 3976004.

It is an arithmetic number, because the mean of its divisors is an integer number (818301120).

Almost surely, 2^65582774460 is an apocalyptic number.

65582774460 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 65582774460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117835361280).

65582774460 is an abundant number, since it is smaller than the sum of its proper divisors (170087948100).

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

65582774460 is a wasteful number, since it uses less digits than its factorization.

65582774460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16665 (or 16660 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 65582774460 in words is "sixty-five billion, five hundred eighty-two million, seven hundred seventy-four thousand, four hundred sixty".