74152238883840 has 1408 divisors, whose sum is σ = 288049930721280. Its totient is φ = 17980528656384.

The previous prime is 74152238883743. The next prime is 74152238883857. The reversal of 74152238883840 is 4838883225147.

74152238883840 is a `hidden beast` number, since 7 + 4 + 1 + 522 + 38 + 8 + 8 + 38 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83977620039 + ... + 83977620921.

Almost surely, 2^{74152238883840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74152238883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144024965360640).

74152238883840 is an abundant number, since it is smaller than the sum of its proper divisors (213897691837440).

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

74152238883840 is a wasteful number, since it uses less digits than its factorization.

74152238883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 74152238883840 in words is "seventy-four trillion, one hundred fifty-two billion, two hundred thirty-eight million, eight hundred eighty-three thousand, eight hundred forty".