64857468456 has 288 divisors, whose sum is σ = 197433400320. Its totient is φ = 19231914240.

The previous prime is 64857468409. The next prime is 64857468463. The reversal of 64857468456 is 65486475846.

It is a happy number.

64857468456 is a `hidden beast` number, since 6 + 4 + 8 + 574 + 6 + 8 + 4 + 56 = 666.

Its product of digits (154828800) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 64857468393 and 64857468402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510688665 + ... + 510688791.

It is an arithmetic number, because the mean of its divisors is an integer number (685532640).

Almost surely, 2^64857468456 is an apocalyptic number.

64857468456 is a gapful number since it is divisible by the number (66) 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 64857468456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98716700160).

64857468456 is an abundant number, since it is smaller than the sum of its proper divisors (132575931864).

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

64857468456 is a wasteful number, since it uses less digits than its factorization.

64857468456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 216 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 64857468456 in words is "sixty-four billion, eight hundred fifty-seven million, four hundred sixty-eight thousand, four hundred fifty-six".