42673993689600 has 5760 divisors, whose sum is σ = 209258306611200. Its totient is φ = 8477805772800.

The previous prime is 42673993689599. The next prime is 42673993689611. The reversal of 42673993689600 is 698639937624.

42673993689600 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 3 + 9 + 9 + 3 + 6 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×42673993689600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 575 ways as a sum of consecutive naturals, for example, 1153351180782 + ... + 1153351180818.

It is an arithmetic number, because the mean of its divisors is an integer number (36329567120).

Almost surely, 2^{42673993689600} is an apocalyptic number.

42673993689600 is a gapful number since it is divisible by the number (40) 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 42673993689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104629153305600).

42673993689600 is an abundant number, since it is smaller than the sum of its proper divisors (166584312921600).

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

42673993689600 is a wasteful number, since it uses less digits than its factorization.

42673993689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 42673993689600 in words is "forty-two trillion, six hundred seventy-three billion, nine hundred ninety-three million, six hundred eighty-nine thousand, six hundred".