1947320064 has 216 divisors, whose sum is σ = 5888780352. Its totient is φ = 618209280.

The previous prime is 1947320017. The next prime is 1947320069. The reversal of 1947320064 is 4600237491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1947320069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4517929 + ... + 4518359.

It is an arithmetic number, because the mean of its divisors is an integer number (27262872).

Almost surely, 2^1947320064 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 1947320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944390176).

1947320064 is an abundant number, since it is smaller than the sum of its proper divisors (3941460288).

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

1947320064 is a wasteful number, since it uses less digits than its factorization.

1947320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1947320064 is about 44128.4495988699. The cubic root of 1947320064 is about 1248.7603847429.

The spelling of 1947320064 in words is "one billion, nine hundred forty-seven million, three hundred twenty thousand, sixty-four".