1973368320 has 640 divisors, whose sum is σ = 8145764352. Its totient is φ = 395673600.

The previous prime is 1973368289. The next prime is 1973368337. The reversal of 1973368320 is 238633791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×1973368320³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27793885 + ... + 27793955.

Almost surely, 2^1973368320 is an apocalyptic number.

1973368320 is a gapful number since it is divisible by the number (10) 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 1973368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072882176).

1973368320 is an abundant number, since it is smaller than the sum of its proper divisors (6172396032).

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

1973368320 is a wasteful number, since it uses less digits than its factorization.

1973368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 1973368320 is about 44422.6104590894. The cubic root of 1973368320 is about 1254.3037401839.

The spelling of 1973368320 in words is "one billion, nine hundred seventy-three million, three hundred sixty-eight thousand, three hundred twenty".