623054745600 has 1248 divisors, whose sum is σ = 2484444318720. Its totient is φ = 134762987520.

The previous prime is 623054745557. The next prime is 623054745619. The reversal of 623054745600 is 6547450326.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 6049075149 + ... + 6049075251.

It is an arithmetic number, because the mean of its divisors is an integer number (1990740640).

Almost surely, 2^623054745600 is an apocalyptic number.

623054745600 is a gapful number since it is divisible by the number (60) 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 623054745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242222159360).

623054745600 is an abundant number, since it is smaller than the sum of its proper divisors (1861389573120).

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

623054745600 is a wasteful number, since it uses less digits than its factorization.

623054745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 623054745600 in words is "six hundred twenty-three billion, fifty-four million, seven hundred forty-five thousand, six hundred".