5462686656 has 504 divisors, whose sum is σ = 19726412160. Its totient is φ = 1467984384.

The previous prime is 5462686651. The next prime is 5462686681. The reversal of 5462686656 is 6566862645.

5462686656 is a `hidden beast` number, since 5 + 4 + 626 + 8 + 6 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (5462686651) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 39299835 + ... + 39299973.

Almost surely, 2^5462686656 is an apocalyptic number.

5462686656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5462686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863206080).

5462686656 is an abundant number, since it is smaller than the sum of its proper divisors (14263725504).

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

5462686656 is a wasteful number, since it uses less digits than its factorization.

5462686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 170 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 5462686656 is about 73909.9902313618. The cubic root of 5462686656 is about 1761.1733154240.

The spelling of 5462686656 in words is "five billion, four hundred sixty-two million, six hundred eighty-six thousand, six hundred fifty-six".