7096249440 has 288 divisors, whose sum is σ = 27770783040. Its totient is φ = 1616412672.

The previous prime is 7096249427. The next prime is 7096249441. The reversal of 7096249440 is 449426907.

7096249440 is a `hidden beast` number, since 70 + 96 + 2 + 494 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7096249440² (a number of 21 digits) contains 22 as substring.

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 (7096249441) 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, 3395916 + ... + 3398004.

It is an arithmetic number, because the mean of its divisors is an integer number (96426330).

Almost surely, 2^7096249440 is an apocalyptic number.

7096249440 is a gapful number since it is divisible by the number (70) 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 7096249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885391520).

7096249440 is an abundant number, since it is smaller than the sum of its proper divisors (20674533600).

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

7096249440 is a wasteful number, since it uses less digits than its factorization.

7096249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7096249440 is about 84239.2393128048. The cubic root of 7096249440 is about 1921.6588528202.

The spelling of 7096249440 in words is "seven billion, ninety-six million, two hundred forty-nine thousand, four hundred forty".