7149703680 has 480 divisors, whose sum is σ = 29556679680. Its totient is φ = 1633443840.

The previous prime is 7149703643. The next prime is 7149703733. The reversal of 7149703680 is 863079417.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7149703680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3385825 + ... + 3387935.

It is an arithmetic number, because the mean of its divisors is an integer number (61576416).

Almost surely, 2^7149703680 is an apocalyptic number.

7149703680 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 7149703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778339840).

7149703680 is an abundant number, since it is smaller than the sum of its proper divisors (22406976000).

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

7149703680 is a wasteful number, since it uses less digits than its factorization.

7149703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7149703680 is about 84555.9204313926. The cubic root of 7149703680 is about 1926.4719100613.

The spelling of 7149703680 in words is "seven billion, one hundred forty-nine million, seven hundred three thousand, six hundred eighty".