73254929040 has 100 divisors (see below), whose sum is σ = 254425243644. Its totient is φ = 19534646016.

The previous prime is 73254928987. The next prime is 73254929047. The reversal of 73254929040 is 4092945237.

73254929040 is a `hidden beast` number, since 7 + 32 + 5 + 492 + 90 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14310858384 + 58944070656 = 119628^2 + 242784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (73254929047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5645907 + ... + 5658866.

Almost surely, 2^73254929040 is an apocalyptic number.

It is an amenable number.

73254929040 is an abundant number, since it is smaller than the sum of its proper divisors (181170314604).

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

73254929040 is a wasteful number, since it uses less digits than its factorization.

73254929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304798 (or 11304783 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 73254929040 in words is "seventy-three billion, two hundred fifty-four million, nine hundred twenty-nine thousand, forty".