74262386688 has 384 divisors, whose sum is σ = 233513280000. Its totient is φ = 20977582080.

The previous prime is 74262386687. The next prime is 74262386689. The reversal of 74262386688 is 88668326247.

It is an interprime number because it is at equal distance from previous prime (74262386687) and next prime (74262386689).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×74262386688³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74262386687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276068218 + ... + 276068486.

It is an arithmetic number, because the mean of its divisors is an integer number (608107500).

Almost surely, 2^74262386688 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 74262386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640000).

74262386688 is an abundant number, since it is smaller than the sum of its proper divisors (159250893312).

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

74262386688 is a wasteful number, since it uses less digits than its factorization.

74262386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 412 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 60.

The spelling of 74262386688 in words is "seventy-four billion, two hundred sixty-two million, three hundred eighty-six thousand, six hundred eighty-eight".