74895438240 has 576 divisors, whose sum is σ = 306141099264. Its totient is φ = 16936501248.

The previous prime is 74895438239. The next prime is 74895438253. The reversal of 74895438240 is 4283459847.

74895438240 is a `hidden beast` number, since 7 + 489 + 5 + 43 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26398102 + ... + 26400938.

It is an arithmetic number, because the mean of its divisors is an integer number (531494964).

Almost surely, 2^74895438240 is an apocalyptic number.

74895438240 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 74895438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153070549632).

74895438240 is an abundant number, since it is smaller than the sum of its proper divisors (231245661024).

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

74895438240 is a wasteful number, since it uses less digits than its factorization.

74895438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 74895438240 in words is "seventy-four billion, eight hundred ninety-five million, four hundred thirty-eight thousand, two hundred forty".