66948863904 has 432 divisors, whose sum is σ = 224285050080. Its totient is φ = 19500341760.

The previous prime is 66948863869. The next prime is 66948863909. The reversal of 66948863904 is 40936884966.

66948863904 is a `hidden beast` number, since 6 + 6 + 9 + 488 + 63 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (66948863909) 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, 51857499 + ... + 51858789.

Almost surely, 2^66948863904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66948863904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112142525040).

66948863904 is an abundant number, since it is smaller than the sum of its proper divisors (157336186176).

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

66948863904 is a wasteful number, since it uses less digits than its factorization.

66948863904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 66948863904 in words is "sixty-six billion, nine hundred forty-eight million, eight hundred sixty-three thousand, nine hundred four".