7649256001 has 8 divisors (see below), whose sum is σ = 7687722240. Its totient is φ = 7610832048.

The previous prime is 7649255987. The next prime is 7649256031. The reversal of 7649256001 is 1006529467.

7649256001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7649256001 - 2¹⁷ = 7649124929 is a prime.

It is a super-2 number, since 2×7649256001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7649256031) 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, 389715 + ... + 408871.

It is an arithmetic number, because the mean of its divisors is an integer number (960965280).

Almost surely, 2^7649256001 is an apocalyptic number.

It is an amenable number.

7649256001 is a deficient number, since it is larger than the sum of its proper divisors (38466239).

7649256001 is a wasteful number, since it uses less digits than its factorization.

7649256001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21143.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 7649256001 is about 87460.0251600696. The cubic root of 7649256001 is about 1970.3334573430. Note that the first 3 decimals are identical.

The spelling of 7649256001 in words is "seven billion, six hundred forty-nine million, two hundred fifty-six thousand, one".