73815841890 has 640 divisors, whose sum is σ = 257462599680. Its totient is φ = 14796017280.

The previous prime is 73815841829. The next prime is 73815841927. The reversal of 73815841890 is 9814851837.

73815841890 is a `hidden beast` number, since 7 + 381 + 5 + 84 + 189 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 2381156175 + ... + 2381156205.

It is an arithmetic number, because the mean of its divisors is an integer number (402285312).

Almost surely, 2^73815841890 is an apocalyptic number.

73815841890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73815841890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128731299840).

73815841890 is an abundant number, since it is smaller than the sum of its proper divisors (183646757790).

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

73815841890 is a wasteful number, since it uses less digits than its factorization.

73815841890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 73815841890 in words is "seventy-three billion, eight hundred fifteen million, eight hundred forty-one thousand, eight hundred ninety".