73436696087040 has 960 divisors, whose sum is σ = 306871622209152. Its totient is φ = 15989214412800.

The previous prime is 73436696087011. The next prime is 73436696087147. The reversal of 73436696087040 is 4078069663437.

73436696087040 is a `hidden beast` number, since 7 + 3 + 436 + 6 + 96 + 0 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121603435 + ... + 122205845.

Almost surely, 2^{73436696087040} 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 73436696087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153435811104576).

73436696087040 is an abundant number, since it is smaller than the sum of its proper divisors (233434926122112).

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

73436696087040 is a wasteful number, since it uses less digits than its factorization.

73436696087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602501 (or 602482 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 73436696087040 in words is "seventy-three trillion, four hundred thirty-six billion, six hundred ninety-six million, eighty-seven thousand, forty".