1972318464 has 144 divisors (see below), whose sum is σ = 5854833600. Its totient is φ = 654925824.

The previous prime is 1972318373. The next prime is 1972318483. The reversal of 1972318464 is 4648132791.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2992567 + ... + 2993225.

Almost surely, 2^1972318464 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 1972318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927416800).

1972318464 is an abundant number, since it is smaller than the sum of its proper divisors (3882515136).

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

1972318464 is an equidigital number, since it uses as much as digits as its factorization.

1972318464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1097 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1972318464 is about 44410.7922018962. The cubic root of 1972318464 is about 1254.0812657666.

The spelling of 1972318464 in words is "one billion, nine hundred seventy-two million, three hundred eighteen thousand, four hundred sixty-four".