73731273840 has 480 divisors, whose sum is σ = 308925227520. Its totient is φ = 15965309952.

The previous prime is 73731273839. The next prime is 73731273853. The reversal of 73731273840 is 4837213737.

73731273840 is a `hidden beast` number, since 7 + 373 + 1 + 273 + 8 + 4 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2571262 + ... + 2599778.

It is an arithmetic number, because the mean of its divisors is an integer number (643594224).

Almost surely, 2^73731273840 is an apocalyptic number.

73731273840 is a gapful number since it is divisible by the number (70) 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 73731273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154462613760).

73731273840 is an abundant number, since it is smaller than the sum of its proper divisors (235193953680).

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

73731273840 is a wasteful number, since it uses less digits than its factorization.

73731273840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28571 (or 28553 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 73731273840 in words is "seventy-three billion, seven hundred thirty-one million, two hundred seventy-three thousand, eight hundred forty".