867700874880 has 640 divisors, whose sum is σ = 3613737600000. Its totient is φ = 198327564288.

The previous prime is 867700874879. The next prime is 867700874951. The reversal of 867700874880 is 88478007768.

867700874880 is a `hidden beast` number, since 8 + 6 + 7 + 70 + 0 + 87 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17756721 + ... + 17805519.

It is an arithmetic number, because the mean of its divisors is an integer number (5646465000).

Almost surely, 2^867700874880 is an apocalyptic number.

867700874880 is a gapful number since it is divisible by the number (80) 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 867700874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806868800000).

867700874880 is an abundant number, since it is smaller than the sum of its proper divisors (2746036725120).

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

867700874880 is an equidigital number, since it uses as much as digits as its factorization.

867700874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48851 (or 48816 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 867700874880 in words is "eight hundred sixty-seven billion, seven hundred million, eight hundred seventy-four thousand, eight hundred eighty".