7390563840 has 480 divisors, whose sum is σ = 28270056672. Its totient is φ = 1784217600.

The previous prime is 7390563821. The next prime is 7390563863. The reversal of 7390563840 is 483650937.

7390563840 is a `hidden beast` number, since 7 + 3 + 9 + 0 + 5 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30666120 + ... + 30666360.

Almost surely, 2^7390563840 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 7390563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135028336).

7390563840 is an abundant number, since it is smaller than the sum of its proper divisors (20879492832).

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

7390563840 is a wasteful number, since it uses less digits than its factorization.

7390563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7390563840 is about 85968.3886088369. The cubic root of 7390563840 is about 1947.8665107885.

The spelling of 7390563840 in words is "seven billion, three hundred ninety million, five hundred sixty-three thousand, eight hundred forty".