66376013760 has 672 divisors, whose sum is σ = 272397565440. Its totient is φ = 15070261248.

The previous prime is 66376013731. The next prime is 66376013813. The reversal of 66376013760 is 6731067366.

66376013760 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 601 + 37 + 6 + 0 = 666.

66376013760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107230731 + ... + 107231349.

It is an arithmetic number, because the mean of its divisors is an integer number (405353520).

Almost surely, 2^66376013760 is an apocalyptic number.

66376013760 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 66376013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136198782720).

66376013760 is an abundant number, since it is smaller than the sum of its proper divisors (206021551680).

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

66376013760 is a wasteful number, since it uses less digits than its factorization.

66376013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 66376013760 in words is "sixty-six billion, three hundred seventy-six million, thirteen thousand, seven hundred sixty".