73278424800 has 864 divisors, whose sum is σ = 316367251200. Its totient is φ = 15586836480.

The previous prime is 73278424783. The next prime is 73278424823. The reversal of 73278424800 is 842487237.

73278424800 is a `hidden beast` number, since 7 + 327 + 84 + 248 + 0 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56497752 + ... + 56499048.

It is an arithmetic number, because the mean of its divisors is an integer number (366165800).

Almost surely, 2^73278424800 is an apocalyptic number.

73278424800 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 73278424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158183625600).

73278424800 is an abundant number, since it is smaller than the sum of its proper divisors (243088826400).

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

73278424800 is a wasteful number, since it uses less digits than its factorization.

73278424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 73278424800 in words is "seventy-three billion, two hundred seventy-eight million, four hundred twenty-four thousand, eight hundred".