1973789669376 has 1152 divisors, whose sum is σ = 7135704576000. Its totient is φ = 544285163520.

The previous prime is 1973789669359. The next prime is 1973789669389. The reversal of 1973789669376 is 6739669873791.

1973789669376 is a `hidden beast` number, since 1 + 9 + 7 + 378 + 96 + 6 + 93 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1973789669295 and 1973789669304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291661126 + ... + 5291661498.

It is an arithmetic number, because the mean of its divisors is an integer number (6194188000).

Almost surely, 2^{1973789669376} is an apocalyptic number.

1973789669376 is a gapful number since it is divisible by the number (16) 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 1973789669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567852288000).

1973789669376 is an abundant number, since it is smaller than the sum of its proper divisors (5161914906624).

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

1973789669376 is an frugal number, since it uses more digits than its factorization.

1973789669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 416 counting only the distinct ones).

The product of its digits is 3888730944, while the sum is 81.

The spelling of 1973789669376 in words is "one trillion, nine hundred seventy-three billion, seven hundred eighty-nine million, six hundred sixty-nine thousand, three hundred seventy-six".