578713838976 has 1792 divisors, whose sum is σ = 2382411225600. Its totient is φ = 135444234240.

The previous prime is 578713838903. The next prime is 578713838977. The reversal of 578713838976 is 679838317875.

578713838976 is a `hidden beast` number, since 578 + 7 + 13 + 8 + 38 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578713838977) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2742719511 + ... + 2742719721.

It is an arithmetic number, because the mean of its divisors is an integer number (1329470550).

Almost surely, 2^578713838976 is an apocalyptic number.

578713838976 is a gapful number since it is divisible by the number (56) 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 578713838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191205612800).

578713838976 is an abundant number, since it is smaller than the sum of its proper divisors (1803697386624).

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

578713838976 is a wasteful number, since it uses less digits than its factorization.

578713838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 272 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 578713838976 in words is "five hundred seventy-eight billion, seven hundred thirteen million, eight hundred thirty-eight thousand, nine hundred seventy-six".