7449491952 has 180 divisors, whose sum is σ = 25035082176. Its totient is φ = 2059706880.

The previous prime is 7449491947. The next prime is 7449491971. The reversal of 7449491952 is 2591949447.

7449491952 is a `hidden beast` number, since 7 + 449 + 4 + 9 + 195 + 2 = 666.

It is a congruent number.

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, 201708 + ... + 235764.

Almost surely, 2^7449491952 is an apocalyptic number.

7449491952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7449491952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517541088).

7449491952 is an abundant number, since it is smaller than the sum of its proper divisors (17585590224).

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

7449491952 is a wasteful number, since it uses less digits than its factorization.

7449491952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34116 (or 34100 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 7449491952 is about 86310.4394149398. The cubic root of 7449491952 is about 1953.0298681215.

The spelling of 7449491952 in words is "seven billion, four hundred forty-nine million, four hundred ninety-one thousand, nine hundred fifty-two".