1977633888 has 96 divisors (see below), whose sum is σ = 5385139200. Its totient is φ = 634722816.

The previous prime is 1977633881. The next prime is 1977633907. The reversal of 1977633888 is 8883367791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1977633888² = 7822071589931993088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977633881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332795 + ... + 1334277.

It is an arithmetic number, because the mean of its divisors is an integer number (56095200).

Almost surely, 2^1977633888 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 1977633888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692569600).

1977633888 is an abundant number, since it is smaller than the sum of its proper divisors (3407505312).

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

1977633888 is a wasteful number, since it uses less digits than its factorization.

1977633888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1996 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The square root of 1977633888 is about 44470.5957684401. The cubic root of 1977633888 is about 1255.2068436815.

The spelling of 1977633888 in words is "one billion, nine hundred seventy-seven million, six hundred thirty-three thousand, eight hundred eighty-eight".