64856064000 has 1088 divisors, whose sum is σ = 274808701440. Its totient is φ = 13212057600.

The previous prime is 64856063989. The next prime is 64856064043. The reversal of 64856064000 is 46065846.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 64856064000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2236415986 + ... + 2236416014.

Almost surely, 2^64856064000 is an apocalyptic number.

64856064000 is a gapful number since it is divisible by the number (60) 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 64856064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137404350720).

64856064000 is an abundant number, since it is smaller than the sum of its proper divisors (209952637440).

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

64856064000 is an equidigital number, since it uses as much as digits as its factorization.

64856064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 64856064000 in words is "sixty-four billion, eight hundred fifty-six million, sixty-four thousand".