7282794240 has 360 divisors, whose sum is σ = 27438124560. Its totient is φ = 1839366144.

The previous prime is 7282794163. The next prime is 7282794263. The reversal of 7282794240 is 424972827.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1968072 + ... + 1971768.

Almost surely, 2^7282794240 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 7282794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719062280).

7282794240 is an abundant number, since it is smaller than the sum of its proper divisors (20155330320).

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

7282794240 is a wasteful number, since it uses less digits than its factorization.

7282794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7282794240 is about 85339.2889588377. The cubic root of 7282794240 is about 1938.3521487198.

The spelling of 7282794240 in words is "seven billion, two hundred eighty-two million, seven hundred ninety-four thousand, two hundred forty".