891464071680 has 2400 divisors, whose sum is σ = 4245909400656. Its totient is φ = 176579149824.

The previous prime is 891464071679. The next prime is 891464071681. The reversal of 891464071680 is 86170464198.

891464071680 is a `hidden beast` number, since 8 + 9 + 146 + 407 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (891464071679) and next prime (891464071681).

It can be written as a sum of positive squares in 8 ways, for example, as 417481392384 + 473982679296 = 646128^2 + 688464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (891464071681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2245501242 + ... + 2245501638.

Almost surely, 2^891464071680 is an apocalyptic number.

891464071680 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 891464071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122954700328).

891464071680 is an abundant number, since it is smaller than the sum of its proper divisors (3354445328976).

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

891464071680 is a wasteful number, since it uses less digits than its factorization.

891464071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 891464071680 in words is "eight hundred ninety-one billion, four hundred sixty-four million, seventy-one thousand, six hundred eighty".