74299680000 has 1890 divisors, whose sum is σ = 348092757474. Its totient is φ = 15676416000.

The previous prime is 74299679959. The next prime is 74299680017. The reversal of 74299680000 is 8699247.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 43537326336 + 30762353664 = 208656^2 + 175392^2 .

It is a tau number, because it is divible by the number of its divisors (1890).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 5715359994 + ... + 5715360006.

Almost surely, 2^74299680000 is an apocalyptic number.

74299680000 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 74299680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174046378737).

74299680000 is an abundant number, since it is smaller than the sum of its proper divisors (273793077474).

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

74299680000 is an frugal number, since it uses more digits than its factorization.

74299680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 74299680000 in words is "seventy-four billion, two hundred ninety-nine million, six hundred eighty thousand".