73285965648 has 360 divisors, whose sum is σ = 255422818560. Its totient is φ = 20261767680.

The previous prime is 73285965637. The next prime is 73285965667. The reversal of 73285965648 is 84656958237.

It is a happy number.

73285965648 is a `hidden beast` number, since 7 + 32 + 8 + 596 + 5 + 6 + 4 + 8 = 666.

It is a super-3 number, since 3×73285965648³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5899668 + ... + 5912076.

Almost surely, 2^73285965648 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 73285965648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127711409280).

73285965648 is an abundant number, since it is smaller than the sum of its proper divisors (182136852912).

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

73285965648 is a wasteful number, since it uses less digits than its factorization.

73285965648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12477 (or 12452 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 73285965648 in words is "seventy-three billion, two hundred eighty-five million, nine hundred sixty-five thousand, six hundred forty-eight".