66365760 has 112 divisors (see below), whose sum is σ = 213823296. Its totient is φ = 17436672.

The previous prime is 66365749. The next prime is 66365771. The reversal of 66365760 is 6756366.

66365760 = T₇₉ + T₈₀ + ... + T₇₃₅.

It is an interprime number because it is at equal distance from previous prime (66365749) and next prime (66365771).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69607 + ... + 70553.

Almost surely, 2^66365760 is an apocalyptic number.

66365760 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 66365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106911648).

66365760 is an abundant number, since it is smaller than the sum of its proper divisors (147457536).

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

66365760 is a wasteful number, since it uses less digits than its factorization.

66365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 66365760 is about 8146.5182746987. The cubic root of 66365760 is about 404.8691545004.

The spelling of 66365760 in words is "sixty-six million, three hundred sixty-five thousand, seven hundred sixty".