10064773152 has 384 divisors, whose sum is σ = 35328545280. Its totient is φ = 2727198720.

The previous prime is 10064773139. The next prime is 10064773153. The reversal of 10064773152 is 25137746001.

It is a happy number.

10064773152 is a `hidden beast` number, since 1 + 0 + 0 + 647 + 7 + 3 + 1 + 5 + 2 = 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 (10064773153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9174268 + ... + 9175364.

It is an arithmetic number, because the mean of its divisors is an integer number (92001420).

Almost surely, 2^10064773152 is an apocalyptic number.

10064773152 is a gapful number since it is divisible by the number (12) 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 10064773152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664272640).

10064773152 is an abundant number, since it is smaller than the sum of its proper divisors (25263772128).

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

10064773152 is a wasteful number, since it uses less digits than its factorization.

10064773152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10064773152 in words is "ten billion, sixty-four million, seven hundred seventy-three thousand, one hundred fifty-two".