7493873760 has 480 divisors, whose sum is σ = 27750159360. Its totient is φ = 1902071808.

The previous prime is 7493873749. The next prime is 7493873791. The reversal of 7493873760 is 673783947.

It is a happy number.

7493873760 is a `hidden beast` number, since 7 + 493 + 87 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 7493873697 and 7493873706.

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 79 ways as a sum of consecutive naturals, for example, 47731602 + ... + 47731758.

It is an arithmetic number, because the mean of its divisors is an integer number (57812832).

Almost surely, 2^7493873760 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 7493873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875079680).

7493873760 is an abundant number, since it is smaller than the sum of its proper divisors (20256285600).

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

7493873760 is a wasteful number, since it uses less digits than its factorization.

7493873760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 7493873760 is about 86567.1632895522. The cubic root of 7493873760 is about 1956.9007105434.

The spelling of 7493873760 in words is "seven billion, four hundred ninety-three million, eight hundred seventy-three thousand, seven hundred sixty".