73830909762432 has 48 divisors (see below), whose sum is σ = 212456133564480. Its totient is φ = 24610303253760.

The previous prime is 73830909762413. The next prime is 73830909762437. The reversal of 73830909762432 is 23426790903837.

73830909762432 is a `hidden beast` number, since 7 + 383 + 0 + 9 + 0 + 9 + 7 + 6 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73830909762432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73830909762437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32044664544 + ... + 32044666847.

It is an arithmetic number, because the mean of its divisors is an integer number (4426169449260).

Almost surely, 2^{73830909762432} is an apocalyptic number.

73830909762432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73830909762432 is an abundant number, since it is smaller than the sum of its proper divisors (138625223802048).

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

73830909762432 is a wasteful number, since it uses less digits than its factorization.

73830909762432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64089331411 (or 64089331396 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 73830909762432 in words is "seventy-three trillion, eight hundred thirty billion, nine hundred nine million, seven hundred sixty-two thousand, four hundred thirty-two".