64620020023104 has 896 divisors, whose sum is σ = 221243600793600. Its totient is φ = 16191066931200.

The previous prime is 64620020023067. The next prime is 64620020023193. The reversal of 64620020023104 is 40132002002646.

64620020023104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10750291459 + ... + 10750297469.

It is an arithmetic number, because the mean of its divisors is an integer number (246923661600).

Almost surely, 2^{64620020023104} is an apocalyptic number.

64620020023104 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 64620020023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110621800396800).

64620020023104 is an abundant number, since it is smaller than the sum of its proper divisors (156623580770496).

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

64620020023104 is a wasteful number, since it uses less digits than its factorization.

64620020023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 64620020023104 in words is "sixty-four trillion, six hundred twenty billion, twenty million, twenty-three thousand, one hundred four".