73674946800 has 720 divisors, whose sum is σ = 333209298240. Its totient is φ = 14629109760.

The previous prime is 73674946781. The next prime is 73674946879. The reversal of 73674946800 is 864947637.

It is a happy number.

73674946800 is a `hidden beast` number, since 73 + 6 + 7 + 494 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5562586 + ... + 5575814.

It is an arithmetic number, because the mean of its divisors is an integer number (462790692).

Almost surely, 2^73674946800 is an apocalyptic number.

73674946800 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 73674946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166604649120).

73674946800 is an abundant number, since it is smaller than the sum of its proper divisors (259534351440).

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

73674946800 is a wasteful number, since it uses less digits than its factorization.

73674946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 73674946800 in words is "seventy-three billion, six hundred seventy-four million, nine hundred forty-six thousand, eight hundred".