7933386240 has 640 divisors, whose sum is σ = 31004265600. Its totient is φ = 1934917632.

The previous prime is 7933386233. The next prime is 7933386281. The reversal of 7933386240 is 426833397.

7933386240 is a `hidden beast` number, since 79 + 3 + 338 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72783306 + ... + 72783414.

It is an arithmetic number, because the mean of its divisors is an integer number (48444165).

Almost surely, 2^7933386240 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 7933386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502132800).

7933386240 is an abundant number, since it is smaller than the sum of its proper divisors (23070879360).

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

7933386240 is an equidigital number, since it uses as much as digits as its factorization.

7933386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 7933386240 is about 89069.5584360897. The cubic root of 7933386240 is about 1994.4333740456.

The spelling of 7933386240 in words is "seven billion, nine hundred thirty-three million, three hundred eighty-six thousand, two hundred forty".