73920087880704 has 792 divisors, whose sum is σ = 237851639658360. Its totient is φ = 21964420546560.

The previous prime is 73920087880687. The next prime is 73920087880747. The reversal of 73920087880704 is 40708878002937.

It can be written as a sum of positive squares in 12 ways, for example, as 43290504520704 + 30629583360000 = 6579552^2 + 5534400^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145226105602 + ... + 145226106110.

Almost surely, 2^{73920087880704} is an apocalyptic number.

73920087880704 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73920087880704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118925819829180).

73920087880704 is an abundant number, since it is smaller than the sum of its proper divisors (163931551777656).

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

73920087880704 is a wasteful number, since it uses less digits than its factorization.

73920087880704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 73920087880704 in words is "seventy-three trillion, nine hundred twenty billion, eighty-seven million, eight hundred eighty thousand, seven hundred four".