7380480000000 has 768 divisors, whose sum is σ = 25420347033120. Its totient is φ = 1904640000000.

The previous prime is 7380479999999. The next prime is 7380480000041. The reversal of 7380480000000 is 840837.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238079999985 + ... + 238080000015.

Almost surely, 2^{7380480000000} 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 7380480000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710173516560).

7380480000000 is an abundant number, since it is smaller than the sum of its proper divisors (18039867033120).

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

7380480000000 is an frugal number, since it uses more digits than its factorization.

7380480000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Multiplying 7380480000000 by its sum of digits (30), we get a square (221414400000000 = 14880000²).

7380480000000 divided by its sum of digits (30) gives a square (246016000000 = 496000²).

Adding to 7380480000000 its reverse (840837), we get a palindrome (7380480840837).

The spelling of 7380480000000 in words is "seven trillion, three hundred eighty billion, four hundred eighty million", and thus it is an aban number.