891778468320 has 480 divisors, whose sum is σ = 3346280628768. Its totient is φ = 223805472768.

The previous prime is 891778468289. The next prime is 891778468367. The reversal of 891778468320 is 23864877198.

891778468320 is a `hidden beast` number, since 8 + 9 + 177 + 84 + 68 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53529432 + ... + 53546088.

Almost surely, 2^891778468320 is an apocalyptic number.

891778468320 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 891778468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673140314384).

891778468320 is an abundant number, since it is smaller than the sum of its proper divisors (2454502160448).

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

891778468320 is an equidigital number, since it uses as much as digits as its factorization.

891778468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16716 (or 16684 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 891778468320 in words is "eight hundred ninety-one billion, seven hundred seventy-eight million, four hundred sixty-eight thousand, three hundred twenty".