64803572563968 has 2880 divisors, whose sum is σ = 258863871651840. Its totient is φ = 15740769927168.

The previous prime is 64803572563963. The next prime is 64803572563973. The reversal of 64803572563968 is 86936527530846.

64803572563968 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 3 + 57 + 2 + 563 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (64803572563963) and next prime (64803572563973).

It is a super-2 number, since 2×64803572563968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64803572563896 and 64803572563905.

It is not an unprimeable number, because it can be changed into a prime (64803572563963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207040167780 + ... + 207040168092.

It is an arithmetic number, because the mean of its divisors is an integer number (89883288768).

Almost surely, 2^{64803572563968} is an apocalyptic number.

64803572563968 is a gapful number since it is divisible by the number (68) 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 64803572563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129431935825920).

64803572563968 is an abundant number, since it is smaller than the sum of its proper divisors (194060299087872).

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

64803572563968 is a wasteful number, since it uses less digits than its factorization.

64803572563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 64803572563968 in words is "sixty-four trillion, eight hundred three billion, five hundred seventy-two million, five hundred sixty-three thousand, nine hundred sixty-eight".