73846970496 has 384 divisors, whose sum is σ = 233906400000. Its totient is φ = 22225674240.

The previous prime is 73846970489. The next prime is 73846970513. The reversal of 73846970496 is 69407964837.

73846970496 is a `hidden beast` number, since 7 + 3 + 84 + 69 + 7 + 0 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211595730 + ... + 211596078.

It is an arithmetic number, because the mean of its divisors is an integer number (609131250).

Almost surely, 2^73846970496 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 73846970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200000).

73846970496 is an abundant number, since it is smaller than the sum of its proper divisors (160059429504).

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

73846970496 is a wasteful number, since it uses less digits than its factorization.

73846970496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 73846970496 in words is "seventy-three billion, eight hundred forty-six million, nine hundred seventy thousand, four hundred ninety-six".