7269949440 has 672 divisors, whose sum is σ = 28552816656. Its totient is φ = 1698693120.

The previous prime is 7269949409. The next prime is 7269949441. The reversal of 7269949440 is 449499627.

7269949440 is a `hidden beast` number, since 7 + 26 + 99 + 494 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1459851264 + 5810098176 = 38208^2 + 76224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7269949441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177315820 + ... + 177315860.

Almost surely, 2^7269949440 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 7269949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276408328).

7269949440 is an abundant number, since it is smaller than the sum of its proper divisors (21282867216).

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

7269949440 is a wasteful number, since it uses less digits than its factorization.

7269949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7269949440 is about 85263.9984987802. The cubic root of 7269949440 is about 1937.2119088267.

The spelling of 7269949440 in words is "seven billion, two hundred sixty-nine million, nine hundred forty-nine thousand, four hundred forty".