867676380480 has 1680 divisors, whose sum is σ = 4013132618880. Its totient is φ = 173264707584.

The previous prime is 867676380463. The next prime is 867676380497. The reversal of 867676380480 is 84083676768.

867676380480 is a `hidden beast` number, since 8 + 6 + 7 + 6 + 76 + 3 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (867676380463) and next prime (867676380497).

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 851497411 + ... + 851498429.

It is an arithmetic number, because the mean of its divisors is an integer number (2388769416).

Almost surely, 2^867676380480 is an apocalyptic number.

867676380480 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 867676380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006566309440).

867676380480 is an abundant number, since it is smaller than the sum of its proper divisors (3145456238400).

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

867676380480 is a wasteful number, since it uses less digits than its factorization.

867676380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 867676380480 in words is "eight hundred sixty-seven billion, six hundred seventy-six million, three hundred eighty thousand, four hundred eighty".