7245384007680 has 2400 divisors, whose sum is σ = 32611647720960. Its totient is φ = 1507165470720.

The previous prime is 7245384007663. The next prime is 7245384007681. The reversal of 7245384007680 is 867004835427.

7245384007680 is a `hidden beast` number, since 7 + 2 + 4 + 538 + 40 + 0 + 7 + 68 + 0 = 666.

It is a super-3 number, since 3×7245384007680³ (a number of 40 digits) contains 333 as substring.

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 (7245384007681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102047662045 + ... + 102047662115.

Almost surely, 2^{7245384007680} is an apocalyptic number.

7245384007680 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 7245384007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16305823860480).

7245384007680 is an abundant number, since it is smaller than the sum of its proper divisors (25366263713280).

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

7245384007680 is an frugal number, since it uses more digits than its factorization.

7245384007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 7245384007680 in words is "seven trillion, two hundred forty-five billion, three hundred eighty-four million, seven thousand, six hundred eighty".