1948084064640 has 768 divisors, whose sum is σ = 8105068707840. Its totient is φ = 421731532800.

The previous prime is 1948084064627. The next prime is 1948084064651. The reversal of 1948084064640 is 464604808491.

1948084064640 is a `hidden beast` number, since 1 + 9 + 480 + 8 + 40 + 64 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 58729660 + ... + 58762820.

It is an arithmetic number, because the mean of its divisors is an integer number (10553474880).

Almost surely, 2^{1948084064640} is an apocalyptic number.

1948084064640 is a gapful number since it is divisible by the number (10) 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 1948084064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052534353920).

1948084064640 is an abundant number, since it is smaller than the sum of its proper divisors (6156984643200).

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

1948084064640 is a wasteful number, since it uses less digits than its factorization.

1948084064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33271 (or 33256 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1948084064640 in words is "one trillion, nine hundred forty-eight billion, eighty-four million, sixty-four thousand, six hundred forty".