74238080000 has 440 divisors, whose sum is σ = 215787076032. Its totient is φ = 24993792000.

The previous prime is 74238079991. The next prime is 74238080009. The reversal of 74238080000 is 8083247.

It is an interprime number because it is at equal distance from previous prime (74238079991) and next prime (74238080009).

It is a super-2 number, since 2×74238080000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74238080009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327039887 + ... + 327040113.

Almost surely, 2^74238080000 is an apocalyptic number.

74238080000 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 74238080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107893538016).

74238080000 is an abundant number, since it is smaller than the sum of its proper divisors (141548996032).

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

74238080000 is an equidigital number, since it uses as much as digits as its factorization.

74238080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 74238080000 in words is "seventy-four billion, two hundred thirty-eight million, eighty thousand".