66948295680 has 1056 divisors, whose sum is σ = 291077504640. Its totient is φ = 13872660480.

The previous prime is 66948295643. The next prime is 66948295721. The reversal of 66948295680 is 8659284966.

66948295680 is a `hidden beast` number, since 6 + 6 + 9 + 48 + 29 + 568 + 0 = 666.

66948295680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 159021870 + ... + 159022290.

Almost surely, 2^66948295680 is an apocalyptic number.

66948295680 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 66948295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145538752320).

66948295680 is an abundant number, since it is smaller than the sum of its proper divisors (224129208960).

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

66948295680 is a wasteful number, since it uses less digits than its factorization.

66948295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 66948295680 in words is "sixty-six billion, nine hundred forty-eight million, two hundred ninety-five thousand, six hundred eighty".