65682296064 has 720 divisors, whose sum is σ = 252246736896. Its totient is φ = 16497561600.

The previous prime is 65682296047. The next prime is 65682296101. The reversal of 65682296064 is 46069228656.

It is a happy number.

65682296064 is a `hidden beast` number, since 6 + 5 + 6 + 8 + 2 + 29 + 606 + 4 = 666.

It is a super-3 number, since 3×65682296064³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 65682296064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49496169 + ... + 49497495.

Almost surely, 2^65682296064 is an apocalyptic number.

65682296064 is a gapful number since it is divisible by the number (64) 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 65682296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126123368448).

65682296064 is an abundant number, since it is smaller than the sum of its proper divisors (186564440832).

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

65682296064 is a wasteful number, since it uses less digits than its factorization.

65682296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 65682296064 in words is "sixty-five billion, six hundred eighty-two million, two hundred ninety-six thousand, sixty-four".