7349959680 has 352 divisors, whose sum is σ = 27080925696. Its totient is φ = 1666646016.

The previous prime is 7349959637. The next prime is 7349959681. The reversal of 7349959680 is 869599437.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7349959681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21181267 + ... + 21181613.

It is an arithmetic number, because the mean of its divisors is an integer number (76934448).

Almost surely, 2^7349959680 is an apocalyptic number.

7349959680 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 7349959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540462848).

7349959680 is an abundant number, since it is smaller than the sum of its proper divisors (19730966016).

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

7349959680 is a wasteful number, since it uses less digits than its factorization.

7349959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The square root of 7349959680 is about 85731.9058460734. The cubic root of 7349959680 is about 1944.2927297162.

The spelling of 7349959680 in words is "seven billion, three hundred forty-nine million, nine hundred fifty-nine thousand, six hundred eighty".