66071396160 has 1008 divisors, whose sum is σ = 297914153472. Its totient is φ = 13276569600.

The previous prime is 66071396159. The next prime is 66071396179. The reversal of 66071396160 is 6169317066.

66071396160 is a `hidden beast` number, since 6 + 607 + 1 + 39 + 6 + 1 + 6 + 0 = 666.

66071396160 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 (1008).

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 143 ways as a sum of consecutive naturals, for example, 48121234 + ... + 48122606.

Almost surely, 2^66071396160 is an apocalyptic number.

66071396160 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 66071396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148957076736).

66071396160 is an abundant number, since it is smaller than the sum of its proper divisors (231842757312).

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

66071396160 is a wasteful number, since it uses less digits than its factorization.

66071396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 66071396160 in words is "sixty-six billion, seventy-one million, three hundred ninety-six thousand, one hundred sixty".