576765468864 has 336 divisors, whose sum is σ = 1850865569280. Its totient is φ = 177027793920.

The previous prime is 576765468859. The next prime is 576765468883. The reversal of 576765468864 is 468864567675.

576765468864 is a `hidden beast` number, since 5 + 7 + 6 + 76 + 546 + 8 + 8 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 576765468792 and 576765468801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87134547 + ... + 87141165.

It is an arithmetic number, because the mean of its divisors is an integer number (5508528480).

Almost surely, 2^576765468864 is an apocalyptic number.

576765468864 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 576765468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925432784640).

576765468864 is an abundant number, since it is smaller than the sum of its proper divisors (1274100100416).

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

576765468864 is a wasteful number, since it uses less digits than its factorization.

576765468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7068 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 576765468864 in words is "five hundred seventy-six billion, seven hundred sixty-five million, four hundred sixty-eight thousand, eight hundred sixty-four".