7146778560 has 448 divisors, whose sum is σ = 25237440000. Its totient is φ = 1706213376.

The previous prime is 7146778559. The next prime is 7146778567. The reversal of 7146778560 is 658776417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7146778567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31208526 + ... + 31208754.

Almost surely, 2^7146778560 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 7146778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618720000).

7146778560 is an abundant number, since it is smaller than the sum of its proper divisors (18090661440).

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

7146778560 is a wasteful number, since it uses less digits than its factorization.

7146778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 7146778560 is about 84538.6217062947. The cubic root of 7146778560 is about 1926.2091518438.

The spelling of 7146778560 in words is "seven billion, one hundred forty-six million, seven hundred seventy-eight thousand, five hundred sixty".