42674073750 has 320 divisors, whose sum is σ = 147750704640. Its totient is φ = 8866800000.

The previous prime is 42674073737. The next prime is 42674073847. The reversal of 42674073750 is 5737047624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42674073696 and 42674073705.

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 159 ways as a sum of consecutive naturals, for example, 2590540 + ... + 2606960.

It is an arithmetic number, because the mean of its divisors is an integer number (461720952).

Almost surely, 2^42674073750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42674073750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73875352320).

42674073750 is an abundant number, since it is smaller than the sum of its proper divisors (105076630890).

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

42674073750 is a wasteful number, since it uses less digits than its factorization.

42674073750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16470 (or 16449 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 42674073750 in words is "forty-two billion, six hundred seventy-four million, seventy-three thousand, seven hundred fifty".