73220837760 has 768 divisors, whose sum is σ = 303035765760. Its totient is φ = 16548323328.

The previous prime is 73220837759. The next prime is 73220837777. The reversal of 73220837760 is 6773802237.

73220837760 is a `hidden beast` number, since 73 + 2 + 208 + 377 + 6 + 0 = 666.

It is a super-2 number, since 2×73220837760² (a number of 23 digits) contains 22 as substring.

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, 112129594 + ... + 112130246.

It is an arithmetic number, because the mean of its divisors is an integer number (394577820).

Almost surely, 2^73220837760 is an apocalyptic number.

73220837760 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 73220837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151517882880).

73220837760 is an abundant number, since it is smaller than the sum of its proper divisors (229814928000).

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

73220837760 is a wasteful number, since it uses less digits than its factorization.

73220837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 773 counting only the distinct ones).

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

The spelling of 73220837760 in words is "seventy-three billion, two hundred twenty million, eight hundred thirty-seven thousand, seven hundred sixty".