7164200461 has 8 divisors (see below), whose sum is σ = 7816995648. Its totient is φ = 6511656000.

The previous prime is 7164200431. The next prime is 7164200497. The reversal of 7164200461 is 1640024617.

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 7164200461 - 2²¹ = 7162103309 is a prime.

It is a super-2 number, since 2×7164200461² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7164200431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 119701.

It is an arithmetic number, because the mean of its divisors is an integer number (977124456).

Almost surely, 2^7164200461 is an apocalyptic number.

It is an amenable number.

7164200461 is a deficient number, since it is larger than the sum of its proper divisors (652795187).

7164200461 is a wasteful number, since it uses less digits than its factorization.

7164200461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125363.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 7164200461 is about 84641.6000616718. The cubic root of 7164200461 is about 1927.7730729462.

The spelling of 7164200461 in words is "seven billion, one hundred sixty-four million, two hundred thousand, four hundred sixty-one".