5976685440 has 640 divisors, whose sum is σ = 23886213120. Its totient is φ = 1411706880.

The previous prime is 5976685433. The next prime is 5976685453. The reversal of 5976685440 is 445866795.

5976685440 is a `hidden beast` number, since 5 + 97 + 6 + 6 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26801169 + ... + 26801391.

It is an arithmetic number, because the mean of its divisors is an integer number (37322208).

Almost surely, 2^5976685440 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 5976685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943106560).

5976685440 is an abundant number, since it is smaller than the sum of its proper divisors (17909527680).

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

5976685440 is a wasteful number, since it uses less digits than its factorization.

5976685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 5976685440 is about 77309.0256050353. The cubic root of 5976685440 is about 1814.7639061800.

The spelling of 5976685440 in words is "five billion, nine hundred seventy-six million, six hundred eighty-five thousand, four hundred forty".