7341007104 has 288 divisors, whose sum is σ = 22914057600. Its totient is φ = 2314690560.

The previous prime is 7341007097. The next prime is 7341007123. The reversal of 7341007104 is 4017001437.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10623399 + ... + 10624089.

It is an arithmetic number, because the mean of its divisors is an integer number (79562700).

Almost surely, 2^7341007104 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 7341007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457028800).

7341007104 is an abundant number, since it is smaller than the sum of its proper divisors (15573050496).

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

7341007104 is a wasteful number, since it uses less digits than its factorization.

7341007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7341007104 is about 85679.6773103167. The cubic root of 7341007104 is about 1943.5029974710.

The spelling of 7341007104 in words is "seven billion, three hundred forty-one million, seven thousand, one hundred four".