1978864782048 has 720 divisors, whose sum is σ = 7623811819008. Its totient is φ = 497399616000.

The previous prime is 1978864782029. The next prime is 1978864782049. The reversal of 1978864782048 is 8402874688791.

1978864782048 is a `hidden beast` number, since 1 + 9 + 78 + 86 + 478 + 2 + 0 + 4 + 8 = 666.

It is a super-3 number, since 3×1978864782048³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978864782049) 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 119 ways as a sum of consecutive naturals, for example, 43286883 + ... + 43332573.

Almost surely, 2^{1978864782048} is an apocalyptic number.

1978864782048 is a gapful number since it is divisible by the number (18) 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 1978864782048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811905909504).

1978864782048 is an abundant number, since it is smaller than the sum of its proper divisors (5644947036960).

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

1978864782048 is a wasteful number, since it uses less digits than its factorization.

1978864782048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45769 (or 45745 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 1978864782048 in words is "one trillion, nine hundred seventy-eight billion, eight hundred sixty-four million, seven hundred eighty-two thousand, forty-eight".