7445386054080 has 1792 divisors, whose sum is σ = 29888151552000. Its totient is φ = 1732348477440.

The previous prime is 7445386054039. The next prime is 7445386054213. The reversal of 7445386054080 is 804506835447.

It is a happy number.

7445386054080 is a `hidden beast` number, since 7 + 4 + 4 + 5 + 38 + 60 + 540 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49969033846 + ... + 49969033994.

It is an arithmetic number, because the mean of its divisors is an integer number (16678656000).

Almost surely, 2^{7445386054080} 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 7445386054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944075776000).

7445386054080 is an abundant number, since it is smaller than the sum of its proper divisors (22442765497920).

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

7445386054080 is a wasteful number, since it uses less digits than its factorization.

7445386054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 7445386054080 in words is "seven trillion, four hundred forty-five billion, three hundred eighty-six million, fifty-four thousand, eighty".