579049841664 has 1408 divisors, whose sum is σ = 2235520512000. Its totient is φ = 144091643904.

The previous prime is 579049841663. The next prime is 579049841707. The reversal of 579049841664 is 466148940975.

579049841664 is a `hidden beast` number, since 5 + 79 + 0 + 4 + 98 + 416 + 64 = 666.

It is a super-2 number, since 2×579049841664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (579049841663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3688215474 + ... + 3688215630.

Almost surely, 2^579049841664 is an apocalyptic number.

579049841664 is a gapful number since it is divisible by the number (54) 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 579049841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117760256000).

579049841664 is an abundant number, since it is smaller than the sum of its proper divisors (1656470670336).

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

579049841664 is a wasteful number, since it uses less digits than its factorization.

579049841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 579049841664 in words is "five hundred seventy-nine billion, forty-nine million, eight hundred forty-one thousand, six hundred sixty-four".