65667087360 has 792 divisors, whose sum is σ = 267932321280. Its totient is φ = 14826405888.

The previous prime is 65667087347. The next prime is 65667087361. The reversal of 65667087360 is 6378076656.

65667087360 is a `hidden beast` number, since 6 + 566 + 7 + 0 + 8 + 73 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65667087297 and 65667087306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65667087361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286755726 + ... + 286755954.

Almost surely, 2^65667087360 is an apocalyptic number.

65667087360 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 65667087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133966160640).

65667087360 is an abundant number, since it is smaller than the sum of its proper divisors (202265233920).

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

65667087360 is a wasteful number, since it uses less digits than its factorization.

65667087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 65667087360 in words is "sixty-five billion, six hundred sixty-seven million, eighty-seven thousand, three hundred sixty".