73351528007040 has 1280 divisors, whose sum is σ = 285525927910080. Its totient is φ = 17870166687744.

The previous prime is 73351528007039. The next prime is 73351528007053. The reversal of 73351528007040 is 4070082515337.

73351528007040 is a `hidden beast` number, since 7 + 3 + 3 + 51 + 528 + 0 + 0 + 70 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15227634712 + ... + 15227639528.

Almost surely, 2^{73351528007040} 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 73351528007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142762963955040).

73351528007040 is an abundant number, since it is smaller than the sum of its proper divisors (212174399903040).

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

73351528007040 is a wasteful number, since it uses less digits than its factorization.

73351528007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 73351528007040 in words is "seventy-three trillion, three hundred fifty-one billion, five hundred twenty-eight million, seven thousand, forty".