1978712064 has 360 divisors, whose sum is σ = 6870060288. Its totient is φ = 557383680.

The previous prime is 1978712063. The next prime is 1978712077. The reversal of 1978712064 is 4602178791.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1978712063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27869149 + ... + 27869219.

Almost surely, 2^1978712064 is an apocalyptic number.

1978712064 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 1978712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435030144).

1978712064 is an abundant number, since it is smaller than the sum of its proper divisors (4891348224).

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

1978712064 is an frugal number, since it uses more digits than its factorization.

1978712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1978712064 is about 44482.7164638132. The cubic root of 1978712064 is about 1255.4349088182.

The spelling of 1978712064 in words is "one billion, nine hundred seventy-eight million, seven hundred twelve thousand, sixty-four".