64021646052000 has 4032 divisors, whose sum is σ = 297289859053824. Its totient is φ = 13258216857600.

The previous prime is 64021646051999. The next prime is 64021646052103. The reversal of 64021646052000 is 25064612046.

64021646052000 is a `hidden beast` number, since 6 + 4 + 0 + 2 + 1 + 646 + 0 + 5 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 231125075862 + ... + 231125076138.

It is an arithmetic number, because the mean of its divisors is an integer number (73732603932).

Almost surely, 2^{64021646052000} is an apocalyptic number.

64021646052000 is a gapful number since it is divisible by the number (60) 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 64021646052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148644929526912).

64021646052000 is an abundant number, since it is smaller than the sum of its proper divisors (233268213001824).

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

64021646052000 is a wasteful number, since it uses less digits than its factorization.

64021646052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 64021646052000 in words is "sixty-four trillion, twenty-one billion, six hundred forty-six million, fifty-two thousand".