7347657645 has 48 divisors (see below), whose sum is σ = 13243829040. Its totient is φ = 3763888128.

The previous prime is 7347657643. The next prime is 7347657649. The reversal of 7347657645 is 5467567437.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1341097641 + 6006560004 = 36621^2 + 77502^2 .

It is not a de Polignac number, because 7347657645 - 2¹ = 7347657643 is a prime.

It is a super-3 number, since 3×7347657645³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7347657591 and 7347657600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7347657641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237279 + ... + 266451.

It is an arithmetic number, because the mean of its divisors is an integer number (275913105).

Almost surely, 2^7347657645 is an apocalyptic number.

It is an amenable number.

7347657645 is a deficient number, since it is larger than the sum of its proper divisors (5896171395).

7347657645 is a wasteful number, since it uses less digits than its factorization.

7347657645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29406 (or 29403 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 54.

The square root of 7347657645 is about 85718.4790170708. The cubic root of 7347657645 is about 1944.0897219233.

The spelling of 7347657645 in words is "seven billion, three hundred forty-seven million, six hundred fifty-seven thousand, six hundred forty-five".