7505980416 has 396 divisors, whose sum is σ = 24463385856. Its totient is φ = 2214051840.

The previous prime is 7505980409. The next prime is 7505980429. The reversal of 7505980416 is 6140895057.

7505980416 is a `hidden beast` number, since 7 + 50 + 598 + 0 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59102145 + ... + 59102271.

Almost surely, 2^7505980416 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 7505980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231692928).

7505980416 is an abundant number, since it is smaller than the sum of its proper divisors (16957405440).

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

7505980416 is a wasteful number, since it uses less digits than its factorization.

7505980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 7505980416 is about 86637.0614460117. The cubic root of 7505980416 is about 1957.9539609593.

The spelling of 7505980416 in words is "seven billion, five hundred five million, nine hundred eighty thousand, four hundred sixteen".