73450427904 has 480 divisors, whose sum is σ = 252442681920. Its totient is φ = 20115357696.

The previous prime is 73450427893. The next prime is 73450427957. The reversal of 73450427904 is 40972405437.

73450427904 is a `hidden beast` number, since 7 + 34 + 504 + 27 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73450427904.

It is a congruent number.

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, 217953624 + ... + 217953960.

It is an arithmetic number, because the mean of its divisors is an integer number (525922254).

Almost surely, 2^73450427904 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 73450427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126221340960).

73450427904 is an abundant number, since it is smaller than the sum of its proper divisors (178992254016).

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

73450427904 is a wasteful number, since it uses less digits than its factorization.

73450427904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 73450427904 in words is "seventy-three billion, four hundred fifty million, four hundred twenty-seven thousand, nine hundred four".