64442955303072 has 768 divisors, whose sum is σ = 196441749504000. Its totient is φ = 20540564029440.

The previous prime is 64442955303061. The next prime is 64442955303131. The reversal of 64442955303072 is 27030355924446.

64442955303072 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 2 + 9 + 5 + 530 + 30 + 72 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184650301554 + ... + 184650301902.

It is an arithmetic number, because the mean of its divisors is an integer number (255783528000).

Almost surely, 2^{64442955303072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64442955303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98220874752000).

64442955303072 is an abundant number, since it is smaller than the sum of its proper divisors (131998794200928).

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

64442955303072 is a wasteful number, since it uses less digits than its factorization.

64442955303072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 64442955303072 in words is "sixty-four trillion, four hundred forty-two billion, nine hundred fifty-five million, three hundred three thousand, seventy-two".