74084418240 has 112 divisors (see below), whose sum is σ = 268820627712. Its totient is φ = 16933579776.

The previous prime is 74084418229. The next prime is 74084418241. The reversal of 74084418240 is 4281448047.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 74084418192 and 74084418201.

It is not an unprimeable number, because it can be changed into a prime (74084418241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5505514 + ... + 5518953.

It is an arithmetic number, because the mean of its divisors is an integer number (2400184176).

Almost surely, 2^74084418240 is an apocalyptic number.

74084418240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74084418240 is an abundant number, since it is smaller than the sum of its proper divisors (194736209472).

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

74084418240 is a wasteful number, since it uses less digits than its factorization.

74084418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11024494 (or 11024484 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The spelling of 74084418240 in words is "seventy-four billion, eighty-four million, four hundred eighteen thousand, two hundred forty".