7148666880 has 320 divisors, whose sum is σ = 25669116000. Its totient is φ = 1887436800.

The previous prime is 7148666831. The next prime is 7148666927. The reversal of 7148666880 is 886668417.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7148666880² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70778830 + ... + 70778930.

Almost surely, 2^7148666880 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 7148666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834558000).

7148666880 is an abundant number, since it is smaller than the sum of its proper divisors (18520449120).

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

7148666880 is an frugal number, since it uses more digits than its factorization.

7148666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 7148666880 is about 84549.7893551486. The cubic root of 7148666880 is about 1926.3787844008.

The spelling of 7148666880 in words is "seven billion, one hundred forty-eight million, six hundred sixty-six thousand, eight hundred eighty".