7482562560 has 576 divisors, whose sum is σ = 28992206880. Its totient is φ = 1784217600.

The previous prime is 7482562553. The next prime is 7482562603. The reversal of 7482562560 is 652652847.

7482562560 is a `hidden beast` number, since 7 + 4 + 8 + 25 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 122664930 + ... + 122664990.

Almost surely, 2^7482562560 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 7482562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496103440).

7482562560 is an abundant number, since it is smaller than the sum of its proper divisors (21509644320).

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

7482562560 is a wasteful number, since it uses less digits than its factorization.

7482562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 7482562560 is about 86501.8066863346. The cubic root of 7482562560 is about 1955.9156373968.

The spelling of 7482562560 in words is "seven billion, four hundred eighty-two million, five hundred sixty-two thousand, five hundred sixty".