73840896000 has 576 divisors, whose sum is σ = 276246210240. Its totient is φ = 19674316800.

The previous prime is 73840895963. The next prime is 73840896011. The reversal of 73840896000 is 69804837.

It is a happy number.

73840896000 is a `hidden beast` number, since 7 + 38 + 4 + 0 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 62207407 + ... + 62208593.

It is an arithmetic number, because the mean of its divisors is an integer number (479594115).

Almost surely, 2^73840896000 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 73840896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138123105120).

73840896000 is an abundant number, since it is smaller than the sum of its proper divisors (202405314240).

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

73840896000 is an equidigital number, since it uses as much as digits as its factorization.

73840896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 73840896000 in words is "seventy-three billion, eight hundred forty million, eight hundred ninety-six thousand".