7427681856 has 567 divisors, whose sum is σ = 27142058619. Its totient is φ = 2010500352.

The previous prime is 7427681851. The next prime is 7427681857. The reversal of 7427681856 is 6581867247.

The square root of 7427681856 is 86184.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (567).

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

It is not an unprimeable number, because it can be changed into a prime (7427681851) 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 80 ways as a sum of consecutive naturals, for example, 390930615 + ... + 390930633.

Almost surely, 2^7427681856 is an apocalyptic number.

7427681856 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

7427681856 is the 86184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7427681856

7427681856 is an abundant number, since it is smaller than the sum of its proper divisors (19714376763).

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

7427681856 is an frugal number, since it uses more digits than its factorization.

7427681856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 31 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The cubic root of 7427681856 is about 1951.1220240894.

The spelling of 7427681856 in words is "seven billion, four hundred twenty-seven million, six hundred eighty-one thousand, eight hundred fifty-six".