7505455680 has 448 divisors, whose sum is σ = 27914803200. Its totient is φ = 1894717440.

The previous prime is 7505455673. The next prime is 7505455717. The reversal of 7505455680 is 865545057.

7505455680 is a `hidden beast` number, since 7 + 50 + 545 + 56 + 8 + 0 = 666.

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

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, 35570775 + ... + 35570985.

Almost surely, 2^7505455680 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 7505455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13957401600).

7505455680 is an abundant number, since it is smaller than the sum of its proper divisors (20409347520).

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

7505455680 is a wasteful number, since it uses less digits than its factorization.

7505455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 7505455680 is about 86634.0330355225. The cubic root of 7505455680 is about 1957.9083336588.

The spelling of 7505455680 in words is "seven billion, five hundred five million, four hundred fifty-five thousand, six hundred eighty".