1986776064 has 528 divisors, whose sum is σ = 7439158272. Its totient is φ = 496336896.

The previous prime is 1986776047. The next prime is 1986776069. The reversal of 1986776064 is 4606776891.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1986776064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986776069) 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, 19289037 + ... + 19289139.

Almost surely, 2^1986776064 is an apocalyptic number.

1986776064 is a gapful number since it is divisible by the number (14) 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 1986776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719579136).

1986776064 is an abundant number, since it is smaller than the sum of its proper divisors (5452382208).

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

1986776064 is a wasteful number, since it uses less digits than its factorization.

1986776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 1986776064 is about 44573.2662478307. The cubic root of 1986776064 is about 1257.1380546058.

The spelling of 1986776064 in words is "one billion, nine hundred eighty-six million, seven hundred seventy-six thousand, sixty-four".