7482551760 has 120 divisors (see below), whose sum is σ = 25187986824. Its totient is φ = 1990656000.

The previous prime is 7482551737. The next prime is 7482551761. The reversal of 7482551760 is 671552847.

7482551760 is a `hidden beast` number, since 74 + 8 + 2 + 5 + 517 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 7479482256 = 1752^2 + 86484^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7482551761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299760 + ... + 323760.

Almost surely, 2^7482551760 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 7482551760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593993412).

7482551760 is an abundant number, since it is smaller than the sum of its proper divisors (17705435064).

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

7482551760 is a wasteful number, since it uses less digits than its factorization.

7482551760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24453 (or 24444 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 7482551760 is about 86501.7442598703. The cubic root of 7482551760 is about 1955.9146963689.

The spelling of 7482551760 in words is "seven billion, four hundred eighty-two million, five hundred fifty-one thousand, seven hundred sixty".