980686232064 has 1440 divisors, whose sum is σ = 3800451612672. Its totient is φ = 240371712000.

The previous prime is 980686232059. The next prime is 980686232101. The reversal of 980686232064 is 460232686089.

980686232064 is a `hidden beast` number, since 9 + 8 + 0 + 6 + 8 + 623 + 2 + 0 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 980686232064.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3618768249 + ... + 3618768519.

Almost surely, 2^980686232064 is an apocalyptic number.

980686232064 is a gapful number since it is divisible by the number (94) 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 980686232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900225806336).

980686232064 is an abundant number, since it is smaller than the sum of its proper divisors (2819765380608).

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

980686232064 is a wasteful number, since it uses less digits than its factorization.

980686232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 980686232064 in words is "nine hundred eighty billion, six hundred eighty-six million, two hundred thirty-two thousand, sixty-four".