64284794492928 has 384 divisors, whose sum is σ = 184658056128000. Its totient is φ = 19813768888320.

The previous prime is 64284794492921. The next prime is 64284794492977. The reversal of 64284794492928 is 82929449748246.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×64284794492928² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64284794492921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5855244943 + ... + 5855255921.

It is an arithmetic number, because the mean of its divisors is an integer number (480880354500).

Almost surely, 2^{64284794492928} is an apocalyptic number.

64284794492928 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 64284794492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92329028064000).

64284794492928 is an abundant number, since it is smaller than the sum of its proper divisors (120373261635072).

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

64284794492928 is a wasteful number, since it uses less digits than its factorization.

64284794492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001 (or 11981 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 78.

The spelling of 64284794492928 in words is "sixty-four trillion, two hundred eighty-four billion, seven hundred ninety-four million, four hundred ninety-two thousand, nine hundred twenty-eight".