5964627456 has 240 divisors, whose sum is σ = 18016846848. Its totient is φ = 1969920000.

The previous prime is 5964627451. The next prime is 5964627457. The reversal of 5964627456 is 6547264695.

5964627456 is a `hidden beast` number, since 5 + 9 + 6 + 4 + 627 + 4 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5964627451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23763331 + ... + 23763581.

Almost surely, 2^5964627456 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 5964627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008423424).

5964627456 is an abundant number, since it is smaller than the sum of its proper divisors (12052219392).

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

5964627456 is an equidigital number, since it uses as much as digits as its factorization.

5964627456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 447 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 5964627456 is about 77231.0006150380. Note that the first 3 decimals coincide. The cubic root of 5964627456 is about 1813.5426536526.

The spelling of 5964627456 in words is "five billion, nine hundred sixty-four million, six hundred twenty-seven thousand, four hundred fifty-six".