7491682305 has 80 divisors (see below), whose sum is σ = 13718960640. Its totient is φ = 3910332672.

The previous prime is 7491682279. The next prime is 7491682307. The reversal of 7491682305 is 5032861947.

7491682305 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7491682305 - 2¹¹ = 7491680257 is a prime.

It is a super-2 number, since 2×7491682305² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

7491682305 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (7491682307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4108624 + ... + 4110446.

It is an arithmetic number, because the mean of its divisors is an integer number (171487008).

It is a 1-persistent number, because it is pandigital, but 2⋅7491682305 = 14983364610 is not.

It is a Proth number, since it is equal to 57157 ⋅ 2¹⁷ + 1 and 57157 < 2¹⁷.

Almost surely, 2^7491682305 is an apocalyptic number.

It is an amenable number.

7491682305 is a deficient number, since it is larger than the sum of its proper divisors (6227278335).

7491682305 is a wasteful number, since it uses less digits than its factorization.

7491682305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7491682305 is about 86554.5048221062. The cubic root of 7491682305 is about 1956.7099379168.

The spelling of 7491682305 in words is "seven billion, four hundred ninety-one million, six hundred eighty-two thousand, three hundred five".