877347516672 has 432 divisors, whose sum is σ = 2941711718400. Its totient is φ = 248671088640.

The previous prime is 877347516659. The next prime is 877347516677. The reversal of 877347516672 is 276615743778.

877347516672 is a `hidden beast` number, since 8 + 7 + 7 + 3 + 47 + 516 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (877347516677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38029813 + ... + 38052875.

Almost surely, 2^877347516672 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 877347516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470855859200).

877347516672 is an abundant number, since it is smaller than the sum of its proper divisors (2064364201728).

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

877347516672 is a wasteful number, since it uses less digits than its factorization.

877347516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23194 (or 23177 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 877347516672 in words is "eight hundred seventy-seven billion, three hundred forty-seven million, five hundred sixteen thousand, six hundred seventy-two".