7164103720 has 64 divisors (see below), whose sum is σ = 16804247040. Its totient is φ = 2745696000.

The previous prime is 7164103673. The next prime is 7164103721. The reversal of 7164103720 is 273014617.

It is a super-2 number, since 2×7164103720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (7164103721) 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 15 ways as a sum of consecutive naturals, for example, 96639 + ... + 153841.

It is an arithmetic number, because the mean of its divisors is an integer number (262566360).

Almost surely, 2^7164103720 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 7164103720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402123520).

7164103720 is an abundant number, since it is smaller than the sum of its proper divisors (9640143320).

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

7164103720 is a wasteful number, since it uses less digits than its factorization.

7164103720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57346 (or 57342 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 7164103720 is about 84641.0285854325. The cubic root of 7164103720 is about 1927.7643957493.

The spelling of 7164103720 in words is "seven billion, one hundred sixty-four million, one hundred three thousand, seven hundred twenty".