64893117408 has 288 divisors, whose sum is σ = 212117391360. Its totient is φ = 16996469760.

The previous prime is 64893117403. The next prime is 64893117433. The reversal of 64893117408 is 80471139846.

It is a super-2 number, since 2×64893117408² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64893117403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7516038 + ... + 7524666.

It is an arithmetic number, because the mean of its divisors is an integer number (736518720).

Almost surely, 2^64893117408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64893117408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106058695680).

64893117408 is an abundant number, since it is smaller than the sum of its proper divisors (147224273952).

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

64893117408 is a wasteful number, since it uses less digits than its factorization.

64893117408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 64893117408 in words is "sixty-four billion, eight hundred ninety-three million, one hundred seventeen thousand, four hundred eight".