985670940672 has 576 divisors, whose sum is σ = 3231210528000. Its totient is φ = 296658616320.

The previous prime is 985670940637. The next prime is 985670940679. The reversal of 985670940672 is 276049076589.

985670940672 is a `hidden beast` number, since 9 + 8 + 567 + 0 + 9 + 4 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×985670940672³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985670940679) 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, 1197655653 + ... + 1197656475.

It is an arithmetic number, because the mean of its divisors is an integer number (5609740500).

Almost surely, 2^985670940672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985670940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615605264000).

985670940672 is an abundant number, since it is smaller than the sum of its proper divisors (2245539587328).

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

985670940672 is a wasteful number, since it uses less digits than its factorization.

985670940672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 985670940672 in words is "nine hundred eighty-five billion, six hundred seventy million, nine hundred forty thousand, six hundred seventy-two".