73457345000 has 320 divisors, whose sum is σ = 190935193680. Its totient is φ = 26320896000.

The previous prime is 73457344997. The next prime is 73457345011. The reversal of 73457345000 is 54375437.

It can be written as a sum of positive squares in 40 ways, for example, as 73210289476 + 247055524 = 270574^2 + 15718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 536184932 + ... + 536185068.

Almost surely, 2^73457345000 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 73457345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95467596840).

73457345000 is an abundant number, since it is smaller than the sum of its proper divisors (117477848680).

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

73457345000 is a wasteful number, since it uses less digits than its factorization.

73457345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 38.

The spelling of 73457345000 in words is "seventy-three billion, four hundred fifty-seven million, three hundred forty-five thousand".