7444794240 has 320 divisors, whose sum is σ = 28634427360. Its totient is φ = 1832398848.

The previous prime is 7444794239. The next prime is 7444794271. The reversal of 7444794240 is 424974447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7444794240² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 668397 + ... + 679443.

Almost surely, 2^7444794240 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 7444794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317213680).

7444794240 is an abundant number, since it is smaller than the sum of its proper divisors (21189633120).

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

7444794240 is a wasteful number, since it uses less digits than its factorization.

7444794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11091 (or 11070 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7444794240 is about 86283.2210803468. The cubic root of 7444794240 is about 1952.6192494670.

The spelling of 7444794240 in words is "seven billion, four hundred forty-four million, seven hundred ninety-four thousand, two hundred forty".