10064355840 has 1280 divisors, whose sum is σ = 46762721280. Its totient is φ = 1990656000.

The previous prime is 10064355839. The next prime is 10064355863. The reversal of 10064355840 is 4855346001.

It is a happy number.

10064355840 is a `hidden beast` number, since 1 + 0 + 0 + 64 + 3 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 10064355795 and 10064355804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164989410 + ... + 164989470.

It is an arithmetic number, because the mean of its divisors is an integer number (36533376).

Almost surely, 2^10064355840 is an apocalyptic number.

10064355840 is a gapful number since it is divisible by the number (10) 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 10064355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381360640).

10064355840 is an abundant number, since it is smaller than the sum of its proper divisors (36698365440).

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

10064355840 is a wasteful number, since it uses less digits than its factorization.

10064355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10064355840 in words is "ten billion, sixty-four million, three hundred fifty-five thousand, eight hundred forty".