73774590120 has 288 divisors, whose sum is σ = 304269657120. Its totient is φ = 15329744640.

The previous prime is 73774590119. The next prime is 73774590137. The reversal of 73774590120 is 2109547737.

73774590120 is a `hidden beast` number, since 7 + 3 + 77 + 459 + 0 + 120 = 666.

It is a super-2 number, since 2×73774590120² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3939 + ... + 384141.

It is an arithmetic number, because the mean of its divisors is an integer number (1056491865).

Almost surely, 2^73774590120 is an apocalyptic number.

73774590120 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 73774590120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152134828560).

73774590120 is an abundant number, since it is smaller than the sum of its proper divisors (230495067000).

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

73774590120 is a wasteful number, since it uses less digits than its factorization.

73774590120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380245 (or 380231 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 73774590120 in words is "seventy-three billion, seven hundred seventy-four million, five hundred ninety thousand, one hundred twenty".