74816815104 has 360 divisors, whose sum is σ = 232185297960. Its totient is φ = 24078974976.

The previous prime is 74816815103. The next prime is 74816815111. The reversal of 74816815104 is 40151861847.

74816815104 is a `hidden beast` number, since 7 + 48 + 16 + 81 + 510 + 4 = 666.

It is a super-2 number, since 2×74816815104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74816815104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74816815103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2579890162 + ... + 2579890190.

It is an arithmetic number, because the mean of its divisors is an integer number (644959161).

Almost surely, 2^74816815104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74816815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116092648980).

74816815104 is an abundant number, since it is smaller than the sum of its proper divisors (157368482856).

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

74816815104 is an frugal number, since it uses more digits than its factorization.

74816815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 74816815104 in words is "seventy-four billion, eight hundred sixteen million, eight hundred fifteen thousand, one hundred four".