73920337920 has 1152 divisors, whose sum is σ = 309086668800. Its totient is φ = 16102195200.

The previous prime is 73920337903. The next prime is 73920337969. The reversal of 73920337920 is 2973302937.

73920337920 is a `hidden beast` number, since 73 + 9 + 203 + 379 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935700441 + ... + 935700519.

It is an arithmetic number, because the mean of its divisors is an integer number (268304400).

Almost surely, 2^73920337920 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 73920337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154543334400).

73920337920 is an abundant number, since it is smaller than the sum of its proper divisors (235166330880).

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

73920337920 is a wasteful number, since it uses less digits than its factorization.

73920337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 73920337920 in words is "seventy-three billion, nine hundred twenty million, three hundred thirty-seven thousand, nine hundred twenty".