7180085350464 has 896 divisors, whose sum is σ = 23074402659840. Its totient is φ = 1948910616576.

The previous prime is 7180085350463. The next prime is 7180085350511. The reversal of 7180085350464 is 4640535800817.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7180085350463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6018511852 + ... + 6018513044.

It is an arithmetic number, because the mean of its divisors is an integer number (25752681540).

Almost surely, 2^{7180085350464} 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 7180085350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537201329920).

7180085350464 is an abundant number, since it is smaller than the sum of its proper divisors (15894317309376).

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

7180085350464 is a wasteful number, since it uses less digits than its factorization.

7180085350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 7180085350464 in words is "seven trillion, one hundred eighty billion, eighty-five million, three hundred fifty thousand, four hundred sixty-four".