867741880320 has 2184 divisors, whose sum is σ = 3929475113856. Its totient is φ = 179732348928.

The previous prime is 867741880309. The next prime is 867741880331. The reversal of 867741880320 is 23088147768.

It is a happy number.

867741880320 is a `hidden beast` number, since 86 + 77 + 418 + 80 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (867741880309) and next prime (867741880331).

It is a super-2 number, since 2×867741880320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 37727907829 + ... + 37727907851.

Almost surely, 2^867741880320 is an apocalyptic number.

867741880320 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 867741880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964737556928).

867741880320 is an abundant number, since it is smaller than the sum of its proper divisors (3061733233536).

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

867741880320 is an equidigital number, since it uses as much as digits as its factorization.

867741880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 867741880320 in words is "eight hundred sixty-seven billion, seven hundred forty-one million, eight hundred eighty thousand, three hundred twenty".