890768406528 has 2304 divisors, whose sum is σ = 3827259072000. Its totient is φ = 202330275840.

The previous prime is 890768406523. The next prime is 890768406529. The reversal of 890768406528 is 825604867098.

890768406528 is a `hidden beast` number, since 8 + 9 + 0 + 7 + 68 + 40 + 6 + 528 = 666.

890768406528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890768406523) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46882547703 + ... + 46882547721.

It is an arithmetic number, because the mean of its divisors is an integer number (1661136750).

Almost surely, 2^890768406528 is an apocalyptic number.

890768406528 is a gapful number since it is divisible by the number (88) 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 890768406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913629536000).

890768406528 is an abundant number, since it is smaller than the sum of its proper divisors (2936490665472).

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

890768406528 is a wasteful number, since it uses less digits than its factorization.

890768406528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 890768406528 in words is "eight hundred ninety billion, seven hundred sixty-eight million, four hundred six thousand, five hundred twenty-eight".