2064635464320 has 3072 divisors, whose sum is σ = 9484998082560. Its totient is φ = 421382062080.

The previous prime is 2064635464313. The next prime is 2064635464343. The reversal of 2064635464320 is 234645364602.

2064635464320 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 63 + 546 + 43 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16256972097 + ... + 16256972223.

It is an arithmetic number, because the mean of its divisors is an integer number (3087564480).

Almost surely, 2^{2064635464320} is an apocalyptic number.

2064635464320 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 2064635464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742499041280).

2064635464320 is an abundant number, since it is smaller than the sum of its proper divisors (7420362618240).

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

2064635464320 is a wasteful number, since it uses less digits than its factorization.

2064635464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 2064635464320 in words is "two trillion, sixty-four billion, six hundred thirty-five million, four hundred sixty-four thousand, three hundred twenty".