74209747968 has 220 divisors, whose sum is σ = 227603547292. Its totient is φ = 24067031040.

The previous prime is 74209747957. The next prime is 74209747979. The reversal of 74209747968 is 86974790247.

74209747968 is a `hidden beast` number, since 74 + 2 + 0 + 97 + 479 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (74209747957) and next prime (74209747979).

It can be written as a sum of positive squares in 2 ways, for example, as 61202801664 + 13006946304 = 247392^2 + 114048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3056838 + ... + 3081018.

Almost surely, 2^74209747968 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 74209747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113801773646).

74209747968 is an abundant number, since it is smaller than the sum of its proper divisors (153393799324).

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

74209747968 is a wasteful number, since it uses less digits than its factorization.

74209747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24250 (or 24223 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 74209747968 in words is "seventy-four billion, two hundred nine million, seven hundred forty-seven thousand, nine hundred sixty-eight".