7384890240 has 768 divisors, whose sum is σ = 31980574080. Its totient is φ = 1528823808.

The previous prime is 7384890211. The next prime is 7384890259. The reversal of 7384890240 is 420984837.

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 95 ways as a sum of consecutive naturals, for example, 38263584 + ... + 38263776.

Almost surely, 2^7384890240 is an apocalyptic number.

7384890240 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 7384890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990287040).

7384890240 is an abundant number, since it is smaller than the sum of its proper divisors (24595683840).

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

7384890240 is a wasteful number, since it uses less digits than its factorization.

7384890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7384890240 is about 85935.3840975881. The cubic root of 7384890240 is about 1947.3679360803.

The spelling of 7384890240 in words is "seven billion, three hundred eighty-four million, eight hundred ninety thousand, two hundred forty".