64958068224 has 480 divisors, whose sum is σ = 228427879680. Its totient is φ = 17357193216.

The previous prime is 64958068211. The next prime is 64958068247. The reversal of 64958068224 is 42286085946.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 50867074 + ... + 50868350.

It is an arithmetic number, because the mean of its divisors is an integer number (475891416).

Almost surely, 2^64958068224 is an apocalyptic number.

64958068224 is a gapful number since it is divisible by the number (64) 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 64958068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114213939840).

64958068224 is an abundant number, since it is smaller than the sum of its proper divisors (163469811456).

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

64958068224 is a wasteful number, since it uses less digits than its factorization.

64958068224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 64958068224 in words is "sixty-four billion, nine hundred fifty-eight million, sixty-eight thousand, two hundred twenty-four".