65966607360 has 528 divisors, whose sum is σ = 243614550816. Its totient is φ = 17103716352.

The previous prime is 65966607341. The next prime is 65966607361. The reversal of 65966607360 is 6370666956.

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

It is a junction number, because it is equal to n+sod(n) for n = 65966607297 and 65966607306.

It is not an unprimeable number, because it can be changed into a prime (65966607361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46033204 + ... + 46034636.

Almost surely, 2^65966607360 is an apocalyptic number.

65966607360 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 65966607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121807275408).

65966607360 is an abundant number, since it is smaller than the sum of its proper divisors (177647943456).

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

65966607360 is a wasteful number, since it uses less digits than its factorization.

65966607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 65966607360 in words is "sixty-five billion, nine hundred sixty-six million, six hundred seven thousand, three hundred sixty".