7343216640 has 576 divisors, whose sum is σ = 27826999200. Its totient is φ = 1783627776.

The previous prime is 7343216627. The next prime is 7343216663. The reversal of 7343216640 is 466123437.

It is a happy number.

7343216640 is a `hidden beast` number, since 7 + 3 + 4 + 3 + 2 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7343216595 and 7343216604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67368906 + ... + 67369014.

Almost surely, 2^7343216640 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 7343216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913499600).

7343216640 is an abundant number, since it is smaller than the sum of its proper divisors (20483782560).

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

7343216640 is a wasteful number, since it uses less digits than its factorization.

7343216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7343216640 is about 85692.5705064331. The cubic root of 7343216640 is about 1943.6979665906.

The spelling of 7343216640 in words is "seven billion, three hundred forty-three million, two hundred sixteen thousand, six hundred forty".