74673345600 has 1008 divisors, whose sum is σ = 327034306560. Its totient is φ = 15784243200.

The previous prime is 74673345581. The next prime is 74673345611. The reversal of 74673345600 is 654337647.

74673345600 is a `hidden beast` number, since 7 + 4 + 6 + 7 + 3 + 34 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×74673345600² (a number of 23 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 71869881 + ... + 71870919.

Almost surely, 2^74673345600 is an apocalyptic number.

74673345600 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 74673345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163517153280).

74673345600 is an abundant number, since it is smaller than the sum of its proper divisors (252360960960).

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

74673345600 is a wasteful number, since it uses less digits than its factorization.

74673345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 74673345600 in words is "seventy-four billion, six hundred seventy-three million, three hundred forty-five thousand, six hundred".