7977680544 has 48 divisors (see below), whose sum is σ = 20953568160. Its totient is φ = 2657683200.

The previous prime is 7977680533. The next prime is 7977680561. The reversal of 7977680544 is 4450867797.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×7977680544² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 148519 + ... + 194969.

It is an arithmetic number, because the mean of its divisors is an integer number (436532670).

Almost surely, 2^7977680544 is an apocalyptic number.

It is an amenable number.

7977680544 is an abundant number, since it is smaller than the sum of its proper divisors (12975887616).

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

7977680544 is a wasteful number, since it uses less digits than its factorization.

7977680544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48253 (or 48245 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The square root of 7977680544 is about 89317.8624016495. The cubic root of 7977680544 is about 1998.1383129317.

The spelling of 7977680544 in words is "seven billion, nine hundred seventy-seven million, six hundred eighty thousand, five hundred forty-four".