73818501120 has 1248 divisors, whose sum is σ = 328587796992. Its totient is φ = 15479341056.

The previous prime is 73818501089. The next prime is 73818501167. The reversal of 73818501120 is 2110581837.

73818501120 is a `hidden beast` number, since 73 + 81 + 8 + 501 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×73818501120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 452874159 + ... + 452874321.

It is an arithmetic number, because the mean of its divisors is an integer number (263291504).

Almost surely, 2^73818501120 is an apocalyptic number.

73818501120 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 73818501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164293898496).

73818501120 is an abundant number, since it is smaller than the sum of its proper divisors (254769295872).

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

73818501120 is a wasteful number, since it uses less digits than its factorization.

73818501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 73818501120 in words is "seventy-three billion, eight hundred eighteen million, five hundred one thousand, one hundred twenty".