7505498880 has 360 divisors, whose sum is σ = 29301958224. Its totient is φ = 1819238400.

The previous prime is 7505498867. The next prime is 7505498881. The reversal of 7505498880 is 888945057.

7505498880 is a `hidden beast` number, since 75 + 0 + 5 + 498 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7505498881) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1137190 + ... + 1143770.

Almost surely, 2^7505498880 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 7505498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650979112).

7505498880 is an abundant number, since it is smaller than the sum of its proper divisors (21796459344).

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

7505498880 is a wasteful number, since it uses less digits than its factorization.

7505498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 7505498880 is about 86634.2823598141. The cubic root of 7505498880 is about 1957.9120901031.

The spelling of 7505498880 in words is "seven billion, five hundred five million, four hundred ninety-eight thousand, eight hundred eighty".