74310214800 has 240 divisors, whose sum is σ = 251493546240. Its totient is φ = 18725253120.

The previous prime is 74310214787. The next prime is 74310214817. The reversal of 74310214800 is 841201347.

It is a Cunningham number, because it is equal to 272599²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612884 + ... + 1658316.

It is an arithmetic number, because the mean of its divisors is an integer number (1047889776).

Almost surely, 2^74310214800 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 74310214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125746773120).

74310214800 is an abundant number, since it is smaller than the sum of its proper divisors (177183331440).

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

74310214800 is a wasteful number, since it uses less digits than its factorization.

74310214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45530 (or 45519 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 74310214800 in words is "seventy-four billion, three hundred ten million, two hundred fourteen thousand, eight hundred".