73828974960 has 480 divisors, whose sum is σ = 291588569280. Its totient is φ = 17102831616.

The previous prime is 73828974953. The next prime is 73828974983. The reversal of 73828974960 is 6947982837.

73828974960 is a `hidden beast` number, since 7 + 38 + 28 + 97 + 496 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6199732 + ... + 6211628.

It is an arithmetic number, because the mean of its divisors is an integer number (607476186).

Almost surely, 2^73828974960 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 73828974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145794284640).

73828974960 is an abundant number, since it is smaller than the sum of its proper divisors (217759594320).

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

73828974960 is a wasteful number, since it uses less digits than its factorization.

73828974960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 73828974960 in words is "seventy-three billion, eight hundred twenty-eight million, nine hundred seventy-four thousand, nine hundred sixty".