967448522880 has 384 divisors, whose sum is σ = 4042555620480. Its totient is φ = 208123232256.

The previous prime is 967448522867. The next prime is 967448522881. The reversal of 967448522880 is 88225844769.

967448522880 is a `hidden beast` number, since 9 + 6 + 74 + 485 + 2 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (967448522881) 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, 20274 + ... + 1391153.

It is an arithmetic number, because the mean of its divisors is an integer number (10527488595).

Almost surely, 2^967448522880 is an apocalyptic number.

967448522880 is a gapful number since it is divisible by the number (90) 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 967448522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021277810240).

967448522880 is an abundant number, since it is smaller than the sum of its proper divisors (3075107097600).

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

967448522880 is a wasteful number, since it uses less digits than its factorization.

967448522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411476 (or 1411461 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 967448522880 in words is "nine hundred sixty-seven billion, four hundred forty-eight million, five hundred twenty-two thousand, eight hundred eighty".