74223676800 has 1152 divisors, whose sum is σ = 330005544960. Its totient is φ = 15467397120.

The previous prime is 74223676777. The next prime is 74223676841. The reversal of 74223676800 is 867632247.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 332841489 + ... + 332841711.

Almost surely, 2^74223676800 is an apocalyptic number.

74223676800 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 74223676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165002772480).

74223676800 is an abundant number, since it is smaller than the sum of its proper divisors (255781868160).

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

74223676800 is a wasteful number, since it uses less digits than its factorization.

74223676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 74223676800 in words is "seventy-four billion, two hundred twenty-three million, six hundred seventy-six thousand, eight hundred".