64824779520 has 720 divisors, whose sum is σ = 243319329792. Its totient is φ = 16527421440.

The previous prime is 64824779477. The next prime is 64824779521. The reversal of 64824779520 is 2597742846.

64824779520 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 47 + 79 + 520 = 666.

64824779520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×64824779520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64824779521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 781021399 + ... + 781021481.

Almost surely, 2^64824779520 is an apocalyptic number.

64824779520 is a gapful number since it is divisible by the number (60) 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 64824779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121659664896).

64824779520 is an abundant number, since it is smaller than the sum of its proper divisors (178494550272).

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

64824779520 is an frugal number, since it uses more digits than its factorization.

64824779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 64824779520 in words is "sixty-four billion, eight hundred twenty-four million, seven hundred seventy-nine thousand, five hundred twenty".