7428341760 has 512 divisors, whose sum is σ = 28990586880. Its totient is φ = 1585446912.

The previous prime is 7428341749. The next prime is 7428341779. The reversal of 7428341760 is 671438247.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×7428341760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58490817 + ... + 58490943.

It is an arithmetic number, because the mean of its divisors is an integer number (56622240).

Almost surely, 2^7428341760 is an apocalyptic number.

7428341760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7428341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495293440).

7428341760 is an abundant number, since it is smaller than the sum of its proper divisors (21562245120).

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

7428341760 is a wasteful number, since it uses less digits than its factorization.

7428341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7428341760 is about 86187.8283750090. The cubic root of 7428341760 is about 1951.1798041220.

The spelling of 7428341760 in words is "seven billion, four hundred twenty-eight million, three hundred forty-one thousand, seven hundred sixty".