7390643040 has 768 divisors, whose sum is σ = 30307737600. Its totient is φ = 1664409600.

The previous prime is 7390643023. The next prime is 7390643041. The reversal of 7390643040 is 403460937.

7390643040 is a `hidden beast` number, since 7 + 3 + 9 + 0 + 643 + 0 + 4 + 0 = 666.

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 = 7390642986 and 7390643004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7390643041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42720394 + ... + 42720566.

It is an arithmetic number, because the mean of its divisors is an integer number (39463200).

Almost surely, 2^7390643040 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 7390643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153868800).

7390643040 is an abundant number, since it is smaller than the sum of its proper divisors (22917094560).

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

7390643040 is a wasteful number, since it uses less digits than its factorization.

7390643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7390643040 is about 85968.8492420365. The cubic root of 7390643040 is about 1947.8734687816.

The spelling of 7390643040 in words is "seven billion, three hundred ninety million, six hundred forty-three thousand, forty".