74281105080 has 1536 divisors, whose sum is σ = 331681996800. Its totient is φ = 14814213120.

The previous prime is 74281105069. The next prime is 74281105103. The reversal of 74281105080 is 8050118247.

74281105080 is a `hidden beast` number, since 74 + 2 + 81 + 1 + 0 + 508 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1727467539 + ... + 1727467581.

It is an arithmetic number, because the mean of its divisors is an integer number (215938800).

Almost surely, 2^74281105080 is an apocalyptic number.

74281105080 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 74281105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165840998400).

74281105080 is an abundant number, since it is smaller than the sum of its proper divisors (257400891720).

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

74281105080 is a wasteful number, since it uses less digits than its factorization.

74281105080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 74281105080 in words is "seventy-four billion, two hundred eighty-one million, one hundred five thousand, eighty".