7734450481920 has 576 divisors, whose sum is σ = 28440785049600. Its totient is φ = 1989023662080.

The previous prime is 7734450481897. The next prime is 7734450481921. The reversal of 7734450481920 is 291840544377.

7734450481920 is a `hidden beast` number, since 7 + 7 + 3 + 44 + 504 + 8 + 1 + 92 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7734450481921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117367380 + ... + 117433260.

Almost surely, 2^{7734450481920} 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 7734450481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220392524800).

7734450481920 is an abundant number, since it is smaller than the sum of its proper divisors (20706334567680).

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

7734450481920 is a wasteful number, since it uses less digits than its factorization.

7734450481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66033 (or 66013 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7734450481920 in words is "seven trillion, seven hundred thirty-four billion, four hundred fifty million, four hundred eighty-one thousand, nine hundred twenty".