10066904064 has 528 divisors, whose sum is σ = 35969556480. Its totient is φ = 2647572480.

The previous prime is 10066904053. The next prime is 10066904069. The reversal of 10066904064 is 46040966001.

10066904064 is a `hidden beast` number, since 100 + 66 + 90 + 406 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10066904069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52706209 + ... + 52706399.

It is an arithmetic number, because the mean of its divisors is an integer number (68124160).

Almost surely, 2^10066904064 is an apocalyptic number.

10066904064 is a gapful number since it is divisible by the number (14) 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 10066904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984778240).

10066904064 is an abundant number, since it is smaller than the sum of its proper divisors (25902652416).

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

10066904064 is a wasteful number, since it uses less digits than its factorization.

10066904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10066904064 in words is "ten billion, sixty-six million, nine hundred four thousand, sixty-four".