64811020240512 has 2560 divisors, whose sum is σ = 258642901440000. Its totient is φ = 15634134466560.

The previous prime is 64811020240511. The next prime is 64811020240541. The reversal of 64811020240512 is 21504202011846.

64811020240512 is a `hidden beast` number, since 6 + 4 + 8 + 110 + 2 + 0 + 24 + 0 + 512 = 666.

It is a super-2 number, since 2×64811020240512² (a number of 28 digits) contains 22 as substring.

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 (64811020240511) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 80112509164 + ... + 80112509972.

It is an arithmetic number, because the mean of its divisors is an integer number (101032383375).

Almost surely, 2^{64811020240512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64811020240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129321450720000).

64811020240512 is an abundant number, since it is smaller than the sum of its proper divisors (193831881199488).

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

64811020240512 is a wasteful number, since it uses less digits than its factorization.

64811020240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 64811020240512 in words is "sixty-four trillion, eight hundred eleven billion, twenty million, two hundred forty thousand, five hundred twelve".