7945509580890 has 64 divisors (see below), whose sum is σ = 21797788207104. Its totient is φ = 1815750600768.

The previous prime is 7945509580843. The next prime is 7945509580973. The reversal of 7945509580890 is 980859055497.

It is a super-2 number, since 2×7945509580890² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2765644 + ... + 4851783.

It is an arithmetic number, because the mean of its divisors is an integer number (340590440736).

Almost surely, 2^{7945509580890} is an apocalyptic number.

7945509580890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7945509580890 is an abundant number, since it is smaller than the sum of its proper divisors (13852278626214).

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

7945509580890 is a wasteful number, since it uses less digits than its factorization.

7945509580890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622411.

The product of its (nonzero) digits is 163296000, while the sum is 69.

The spelling of 7945509580890 in words is "seven trillion, nine hundred forty-five billion, five hundred nine million, five hundred eighty thousand, eight hundred ninety".