5977464480 has 288 divisors, whose sum is σ = 22923927936. Its totient is φ = 1407301632.

The previous prime is 5977464461. The next prime is 5977464491. The reversal of 5977464480 is 844647795.

5977464480 is a `hidden beast` number, since 5 + 97 + 74 + 6 + 4 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423619 + ... + 437501.

It is an arithmetic number, because the mean of its divisors is an integer number (79596972).

Almost surely, 2^5977464480 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 5977464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461963968).

5977464480 is an abundant number, since it is smaller than the sum of its proper divisors (16946463456).

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

5977464480 is a wasteful number, since it uses less digits than its factorization.

5977464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13940 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 5977464480 is about 77314.0639211263. The cubic root of 5977464480 is about 1814.8427521259.

The spelling of 5977464480 in words is "five billion, nine hundred seventy-seven million, four hundred sixty-four thousand, four hundred eighty".