1972363296384 has 576 divisors, whose sum is σ = 6372160254720. Its totient is φ = 584710963200.

The previous prime is 1972363296313. The next prime is 1972363296437. The reversal of 1972363296384 is 4836923632791.

1972363296384 is a `hidden beast` number, since 1 + 97 + 23 + 63 + 2 + 96 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1695926587 + ... + 1695927749.

It is an arithmetic number, because the mean of its divisors is an integer number (11062778220).

Almost surely, 2^{1972363296384} 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 1972363296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186080127360).

1972363296384 is an abundant number, since it is smaller than the sum of its proper divisors (4399796958336).

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

1972363296384 is a wasteful number, since it uses less digits than its factorization.

1972363296384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 1972363296384 in words is "one trillion, nine hundred seventy-two billion, three hundred sixty-three million, two hundred ninety-six thousand, three hundred eighty-four".