7342266384 has 320 divisors, whose sum is σ = 22533914880. Its totient is φ = 2314510848.

The previous prime is 7342266359. The next prime is 7342266397. The reversal of 7342266384 is 4836622437.

7342266384 is a `hidden beast` number, since 7 + 3 + 4 + 2 + 2 + 6 + 638 + 4 = 666.

It is a super-4 number, since 4×7342266384⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68619259 + ... + 68619365.

It is an arithmetic number, because the mean of its divisors is an integer number (70418484).

Almost surely, 2^7342266384 is an apocalyptic number.

7342266384 is a gapful number since it is divisible by the number (74) 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 7342266384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11266957440).

7342266384 is an abundant number, since it is smaller than the sum of its proper divisors (15191648496).

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

7342266384 is a wasteful number, since it uses less digits than its factorization.

7342266384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 7342266384 is about 85687.0257623638. The cubic root of 7342266384 is about 1943.6141209399.

The spelling of 7342266384 in words is "seven billion, three hundred forty-two million, two hundred sixty-six thousand, three hundred eighty-four".