1977563648736 has 288 divisors, whose sum is σ = 6096481923168. Its totient is φ = 604456796160.

The previous prime is 1977563648717. The next prime is 1977563648741. The reversal of 1977563648736 is 6378463657791.

1977563648736 is a `hidden beast` number, since 1 + 97 + 7 + 56 + 3 + 6 + 487 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 365063500 + ... + 365068916.

It is an arithmetic number, because the mean of its divisors is an integer number (21168340011).

Almost surely, 2^{1977563648736} is an apocalyptic number.

1977563648736 is a gapful number since it is divisible by the number (16) 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 1977563648736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048240961584).

1977563648736 is an abundant number, since it is smaller than the sum of its proper divisors (4118918274432).

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

1977563648736 is a wasteful number, since it uses less digits than its factorization.

1977563648736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6063 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 1977563648736 in words is "one trillion, nine hundred seventy-seven billion, five hundred sixty-three million, six hundred forty-eight thousand, seven hundred thirty-six".