7146382880 has 384 divisors, whose sum is σ = 21849440256. Its totient is φ = 2148249600.

The previous prime is 7146382823. The next prime is 7146382891. The reversal of 7146382880 is 882836417.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32046449 + ... + 32046671.

It is an arithmetic number, because the mean of its divisors is an integer number (56899584).

Almost surely, 2^7146382880 is an apocalyptic number.

7146382880 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 7146382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924720128).

7146382880 is an abundant number, since it is smaller than the sum of its proper divisors (14703057376).

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

7146382880 is a wasteful number, since it uses less digits than its factorization.

7146382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 7146382880 is about 84536.2814417573. The cubic root of 7146382880 is about 1926.1736031232.

The spelling of 7146382880 in words is "seven billion, one hundred forty-six million, three hundred eighty-two thousand, eight hundred eighty".