73821288240 has 960 divisors, whose sum is σ = 319055293440. Its totient is φ = 14890106880.

The previous prime is 73821288239. The next prime is 73821288287. The reversal of 73821288240 is 4288212837.

73821288240 is a `hidden beast` number, since 7 + 382 + 1 + 28 + 8 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223024875 + ... + 223025205.

It is an arithmetic number, because the mean of its divisors is an integer number (332349264).

Almost surely, 2^73821288240 is an apocalyptic number.

73821288240 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 73821288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159527646720).

73821288240 is an abundant number, since it is smaller than the sum of its proper divisors (245234005200).

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

73821288240 is a wasteful number, since it uses less digits than its factorization.

73821288240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 73821288240 in words is "seventy-three billion, eight hundred twenty-one million, two hundred eighty-eight thousand, two hundred forty".