7240355640 has 768 divisors, whose sum is σ = 29785190400. Its totient is φ = 1557964800.

The previous prime is 7240355627. The next prime is 7240355651. The reversal of 7240355640 is 465530427.

7240355640 is a `hidden beast` number, since 7 + 2 + 4 + 0 + 3 + 5 + 5 + 640 = 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 = 7240355595 and 7240355604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101976805 + ... + 101976875.

It is an arithmetic number, because the mean of its divisors is an integer number (38782800).

Almost surely, 2^7240355640 is an apocalyptic number.

7240355640 is a gapful number since it is divisible by the number (70) 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 7240355640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892595200).

7240355640 is an abundant number, since it is smaller than the sum of its proper divisors (22544834760).

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

7240355640 is a wasteful number, since it uses less digits than its factorization.

7240355640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 7240355640 is about 85090.2793508166. The cubic root of 7240355640 is about 1934.5797296506.

The spelling of 7240355640 in words is "seven billion, two hundred forty million, three hundred fifty-five thousand, six hundred forty".