898115664775680 has 7680 divisors, whose sum is σ = 3995415957012480. Its totient is φ = 191294078976000.

The previous prime is 898115664775663. The next prime is 898115664775801. The reversal of 898115664775680 is 86577466511898.

898115664775680 is a `hidden beast` number, since 8 + 9 + 8 + 1 + 1 + 5 + 6 + 6 + 47 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×898115664775680² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 898115664775680.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 6855844769215 + ... + 6855844769345.

It is an arithmetic number, because the mean of its divisors is an integer number (520236452736).

Almost surely, 2^{898115664775680} is an apocalyptic number.

898115664775680 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 898115664775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997707978506240).

898115664775680 is an abundant number, since it is smaller than the sum of its proper divisors (3097300292236800).

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

898115664775680 is a wasteful number, since it uses less digits than its factorization.

898115664775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4877107200, while the sum is 81.

The spelling of 898115664775680 in words is "eight hundred ninety-eight trillion, one hundred fifteen billion, six hundred sixty-four million, seven hundred seventy-five thousand, six hundred eighty".