7973363773440 has 1248 divisors, whose sum is σ = 30606178686720. Its totient is φ = 1907972112384.

The previous prime is 7973363773439. The next prime is 7973363773471. The reversal of 7973363773440 is 443773633797.

7973363773440 is a `hidden beast` number, since 7 + 97 + 3 + 3 + 6 + 37 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-3 number, since 3×7973363773440³ (a number of 40 digits) contains 333 as substring.

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, 13818654432 + ... + 13818655008.

It is an arithmetic number, because the mean of its divisors is an integer number (24524181640).

Almost surely, 2^{7973363773440} 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 7973363773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15303089343360).

7973363773440 is an abundant number, since it is smaller than the sum of its proper divisors (22632814913280).

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

7973363773440 is a wasteful number, since it uses less digits than its factorization.

7973363773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 168031584, while the sum is 63.

It can be divided in two parts, 797336 and 3773440, that added together give a triangular number (4570776 = T₃₀₂₃).

The spelling of 7973363773440 in words is "seven trillion, nine hundred seventy-three billion, three hundred sixty-three million, seven hundred seventy-three thousand, four hundred forty".