7745455872000 has 4032 divisors, whose sum is σ = 37145849832000. Its totient is φ = 1609445376000.

The previous prime is 7745455871987. The next prime is 7745455872019. The reversal of 7745455872000 is 2785545477.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7745455872000 is a `hidden beast` number, since 7 + 7 + 4 + 54 + 5 + 587 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 704132351995 + ... + 704132352005.

It is an arithmetic number, because the mean of its divisors is an integer number (9212760375).

Almost surely, 2^{7745455872000} is an apocalyptic number.

7745455872000 is a gapful number since it is divisible by the number (70) 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 7745455872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18572924916000).

7745455872000 is an abundant number, since it is smaller than the sum of its proper divisors (29400393960000).

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

7745455872000 is an frugal number, since it uses more digits than its factorization.

7745455872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 10976000, while the sum is 54.

The spelling of 7745455872000 in words is "seven trillion, seven hundred forty-five billion, four hundred fifty-five million, eight hundred seventy-two thousand".