2064729502080 has 1280 divisors, whose sum is σ = 8621643317760. Its totient is φ = 461155368960.

The previous prime is 2064729502061. The next prime is 2064729502163. The reversal of 2064729502080 is 802059274602.

2064729502080 is a `hidden beast` number, since 2 + 0 + 6 + 47 + 29 + 502 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3963012220 + ... + 3963012740.

It is an arithmetic number, because the mean of its divisors is an integer number (6735658842).

Almost surely, 2^{2064729502080} is an apocalyptic number.

2064729502080 is a gapful number since it is divisible by the number (20) 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 2064729502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310821658880).

2064729502080 is an abundant number, since it is smaller than the sum of its proper divisors (6556913815680).

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

2064729502080 is a wasteful number, since it uses less digits than its factorization.

2064729502080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2064729502080 in words is "two trillion, sixty-four billion, seven hundred twenty-nine million, five hundred two thousand, eighty".