73806707520 has 1680 divisors, whose sum is σ = 340158994560. Its totient is φ = 14854275072.

The previous prime is 73806707489. The next prime is 73806707543. The reversal of 73806707520 is 2570760837.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 889237399 + ... + 889237481.

It is an arithmetic number, because the mean of its divisors is an integer number (202475592).

Almost surely, 2^73806707520 is an apocalyptic number.

73806707520 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 73806707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170079497280).

73806707520 is an abundant number, since it is smaller than the sum of its proper divisors (266352287040).

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

73806707520 is a wasteful number, since it uses less digits than its factorization.

73806707520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 73806707520 in words is "seventy-three billion, eight hundred six million, seven hundred seven thousand, five hundred twenty".