1968548826240 has 576 divisors, whose sum is σ = 7405915795200. Its totient is φ = 481259335680.

The previous prime is 1968548826217. The next prime is 1968548826263. The reversal of 1968548826240 is 426288458691.

1968548826240 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 548 + 82 + 6 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1968548826217) and next prime (1968548826263).

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64444891 + ... + 64475429.

It is an arithmetic number, because the mean of its divisors is an integer number (12857492700).

Almost surely, 2^{1968548826240} is an apocalyptic number.

1968548826240 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 1968548826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702957897600).

1968548826240 is an abundant number, since it is smaller than the sum of its proper divisors (5437366968960).

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

1968548826240 is a wasteful number, since it uses less digits than its factorization.

1968548826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30633 (or 30599 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 1968548826240 in words is "one trillion, nine hundred sixty-eight billion, five hundred forty-eight million, eight hundred twenty-six thousand, two hundred forty".