7250218164 has 108 divisors (see below), whose sum is σ = 21487624704. Its totient is φ = 2055116448.

The previous prime is 7250218163. The next prime is 7250218169. The reversal of 7250218164 is 4618120527.

7250218164 is a `hidden beast` number, since 72 + 502 + 1 + 81 + 6 + 4 = 666.

It is a super-3 number, since 3×7250218164³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7250218163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207847 + ... + 240209.

It is an arithmetic number, because the mean of its divisors is an integer number (198959488).

Almost surely, 2^7250218164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7250218164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743812352).

7250218164 is an abundant number, since it is smaller than the sum of its proper divisors (14237406540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7250218164 is a wasteful number, since it uses less digits than its factorization.

7250218164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32514 (or 32502 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7250218164 is about 85148.2129231142. The cubic root of 7250218164 is about 1935.4577335889.

The spelling of 7250218164 in words is "seven billion, two hundred fifty million, two hundred eighteen thousand, one hundred sixty-four".