1977075648 has 56 divisors (see below), whose sum is σ = 5812241360. Its totient is φ = 659024640.

The previous prime is 1977075641. The next prime is 1977075671. The reversal of 1977075648 is 8465707791.

1977075648 is a `hidden beast` number, since 1 + 9 + 7 + 70 + 7 + 564 + 8 = 666.

It is a super-4 number, since 4×1977075648⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1977075594 and 1977075603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977075641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570343 + ... + 573798.

Almost surely, 2^1977075648 is an apocalyptic number.

1977075648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1977075648 is an abundant number, since it is smaller than the sum of its proper divisors (3835165712).

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

1977075648 is a wasteful number, since it uses less digits than its factorization.

1977075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144162 (or 1144146 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 1977075648 is about 44464.3188185763. The cubic root of 1977075648 is about 1255.0887273449.

The spelling of 1977075648 in words is "one billion, nine hundred seventy-seven million, seventy-five thousand, six hundred forty-eight".