577672007668488 has 192 divisors, whose sum is σ = 1660529579904000. Its totient is φ = 181029914803584.

The previous prime is 577672007668487. The next prime is 577672007668537. The reversal of 577672007668488 is 884866700276775.

577672007668488 is a `hidden beast` number, since 5 + 7 + 7 + 6 + 7 + 2 + 0 + 0 + 76 + 68 + 488 = 666.

It is a super-2 number, since 2×577672007668488² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (577672007668487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528912445 + ... + 530003507.

It is an arithmetic number, because the mean of its divisors is an integer number (8648591562000).

Almost surely, 2^{577672007668488} 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 577672007668488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830264789952000).

577672007668488 is an abundant number, since it is smaller than the sum of its proper divisors (1082857572235512).

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

577672007668488 is a wasteful number, since it uses less digits than its factorization.

577672007668488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096576 (or 1096569 counting only the distinct ones).

The product of its (nonzero) digits is 10621255680, while the sum is 81.

The spelling of 577672007668488 in words is "five hundred seventy-seven trillion, six hundred seventy-two billion, seven million, six hundred sixty-eight thousand, four hundred eighty-eight".