74169406080 has 1280 divisors, whose sum is σ = 349975676160. Its totient is φ = 14491975680.

The previous prime is 74169406049. The next prime is 74169406099. The reversal of 74169406080 is 8060496147.

74169406080 is a `hidden beast` number, since 7 + 4 + 169 + 406 + 0 + 80 = 666.

It is a super-2 number, since 2×74169406080² (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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67858014 + ... + 67859106.

It is an arithmetic number, because the mean of its divisors is an integer number (273418497).

Almost surely, 2^74169406080 is an apocalyptic number.

74169406080 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 74169406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174987838080).

74169406080 is an abundant number, since it is smaller than the sum of its proper divisors (275806270080).

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

74169406080 is a wasteful number, since it uses less digits than its factorization.

74169406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 74169 and 406080, that added together give a square (480249 = 693²).

The spelling of 74169406080 in words is "seventy-four billion, one hundred sixty-nine million, four hundred six thousand, eighty".