7829749601 has 8 divisors (see below), whose sum is σ = 7847855400. Its totient is φ = 7811665920.

The previous prime is 7829749591. The next prime is 7829749607. The reversal of 7829749601 is 1069479287.

It can be written as a sum of positive squares in 4 ways, for example, as 54037201 + 7775712400 = 7351^2 + 88180^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 7829749601 - 2⁶ = 7829749537 is a prime.

It is a super-2 number, since 2×7829749601² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7829749607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848231 + ... + 857411.

It is an arithmetic number, because the mean of its divisors is an integer number (980981925).

Almost surely, 2^7829749601 is an apocalyptic number.

It is an amenable number.

7829749601 is a deficient number, since it is larger than the sum of its proper divisors (18105799).

7829749601 is a wasteful number, since it uses less digits than its factorization.

7829749601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11059.

The product of its (nonzero) digits is 1524096, while the sum is 53.

The square root of 7829749601 is about 88485.8723243434. The cubic root of 7829749601 is about 1985.7106166534.

The spelling of 7829749601 in words is "seven billion, eight hundred twenty-nine million, seven hundred forty-nine thousand, six hundred one".