7628461041 has 8 divisors (see below), whose sum is σ = 10173312160. Its totient is φ = 5084625312.

The previous prime is 7628461013. The next prime is 7628461067. The reversal of 7628461041 is 1401648267.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7628461041 - 2¹⁴ = 7628444657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7628461081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236140 + ... + 266493.

It is an arithmetic number, because the mean of its divisors is an integer number (1271664020).

Almost surely, 2^7628461041 is an apocalyptic number.

It is an amenable number.

7628461041 is a deficient number, since it is larger than the sum of its proper divisors (2544851119).

7628461041 is a wasteful number, since it uses less digits than its factorization.

7628461041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507695.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 7628461041 is about 87341.0615976243. The cubic root of 7628461041 is about 1968.5463471198.

The spelling of 7628461041 in words is "seven billion, six hundred twenty-eight million, four hundred sixty-one thousand, forty-one".