7506449280 has 1024 divisors, whose sum is σ = 32360601600. Its totient is φ = 1622016000.

The previous prime is 7506449273. The next prime is 7506449281. The reversal of 7506449280 is 829446057.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (7506449281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74321230 + ... + 74321330.

It is an arithmetic number, because the mean of its divisors is an integer number (31602150).

Almost surely, 2^7506449280 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 7506449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180300800).

7506449280 is an abundant number, since it is smaller than the sum of its proper divisors (24854152320).

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

7506449280 is a wasteful number, since it uses less digits than its factorization.

7506449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7506449280 is about 86639.7673127069. The cubic root of 7506449280 is about 1957.9947282303.

The spelling of 7506449280 in words is "seven billion, five hundred six million, four hundred forty-nine thousand, two hundred eighty".