7484520960 has 640 divisors, whose sum is σ = 31426560000. Its totient is φ = 1652244480.

The previous prime is 7484520959. The next prime is 7484520973. The reversal of 7484520960 is 690254847.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998791 + ... + 14999289.

It is an arithmetic number, because the mean of its divisors is an integer number (49104000).

Almost surely, 2^7484520960 is an apocalyptic number.

7484520960 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 7484520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280000).

7484520960 is an abundant number, since it is smaller than the sum of its proper divisors (23942039040).

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

7484520960 is a wasteful number, since it uses less digits than its factorization.

7484520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7484520960 is about 86513.1259405184. The cubic root of 7484520960 is about 1956.0862621447.

The spelling of 7484520960 in words is "seven billion, four hundred eighty-four million, five hundred twenty thousand, nine hundred sixty".