1977512768 has 224 divisors, whose sum is σ = 5196718080. Its totient is φ = 723824640.

The previous prime is 1977512741. The next prime is 1977512807. The reversal of 1977512768 is 8672157791.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8273993 + ... + 8274231.

Almost surely, 2^1977512768 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 1977512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598359040).

1977512768 is an abundant number, since it is smaller than the sum of its proper divisors (3219205312).

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

1977512768 is a wasteful number, since it uses less digits than its factorization.

1977512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 53.

The square root of 1977512768 is about 44469.2339488775. The cubic root of 1977512768 is about 1255.1812181503.

The spelling of 1977512768 in words is "one billion, nine hundred seventy-seven million, five hundred twelve thousand, seven hundred sixty-eight".