579421790640 has 1200 divisors, whose sum is σ = 2544542763840. Its totient is φ = 119613542400.

The previous prime is 579421790611. The next prime is 579421790653. The reversal of 579421790640 is 46097124975.

579421790640 is a `hidden beast` number, since 5 + 79 + 421 + 7 + 90 + 64 + 0 = 666.

It is a super-2 number, since 2×579421790640² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1256880010 + ... + 1256880470.

Almost surely, 2^579421790640 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 579421790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272271381920).

579421790640 is an abundant number, since it is smaller than the sum of its proper divisors (1965120973200).

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

579421790640 is a wasteful number, since it uses less digits than its factorization.

579421790640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 579421790640 in words is "five hundred seventy-nine billion, four hundred twenty-one million, seven hundred ninety thousand, six hundred forty".