64922553368064 has 1600 divisors, whose sum is σ = 240634152000000. Its totient is φ = 17369134497792.

The previous prime is 64922553368053. The next prime is 64922553368081. The reversal of 64922553368064 is 46086335522946.

64922553368064 is a `hidden beast` number, since 6 + 4 + 92 + 2 + 5 + 533 + 6 + 8 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 64922553367992 and 64922553368010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24054297787 + ... + 24054300485.

It is an arithmetic number, because the mean of its divisors is an integer number (150396345000).

Almost surely, 2^{64922553368064} is an apocalyptic number.

64922553368064 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 64922553368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120317076000000).

64922553368064 is an abundant number, since it is smaller than the sum of its proper divisors (175711598631936).

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

64922553368064 is an equidigital number, since it uses as much as digits as its factorization.

64922553368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 64922553368064 in words is "sixty-four trillion, nine hundred twenty-two billion, five hundred fifty-three million, three hundred sixty-eight thousand, sixty-four".