983657816064 has 672 divisors, whose sum is σ = 3567742424064. Its totient is φ = 253689200640.

The previous prime is 983657816039. The next prime is 983657816069. The reversal of 983657816064 is 460618756389.

983657816064 is a `hidden beast` number, since 98 + 365 + 78 + 1 + 60 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 983657815992 and 983657816010.

It is not an unprimeable number, because it can be changed into a prime (983657816069) 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, 925359597 + ... + 925360659.

It is an arithmetic number, because the mean of its divisors is an integer number (5309140512).

Almost surely, 2^983657816064 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 983657816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783871212032).

983657816064 is an abundant number, since it is smaller than the sum of its proper divisors (2584084608000).

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

983657816064 is a wasteful number, since it uses less digits than its factorization.

983657816064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 983657816064 in words is "nine hundred eighty-three billion, six hundred fifty-seven million, eight hundred sixteen thousand, sixty-four".