42672563736 has 384 divisors, whose sum is σ = 129565578240. Its totient is φ = 11653058560.

The previous prime is 42672563707. The next prime is 42672563743. The reversal of 42672563736 is 63736527624.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (7620480) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122975515 + ... + 122975861.

It is an arithmetic number, because the mean of its divisors is an integer number (337410360).

Almost surely, 2^42672563736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42672563736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64782789120).

42672563736 is an abundant number, since it is smaller than the sum of its proper divisors (86893014504).

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

42672563736 is a wasteful number, since it uses less digits than its factorization.

42672563736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 51.

The spelling of 42672563736 in words is "forty-two billion, six hundred seventy-two million, five hundred sixty-three thousand, seven hundred thirty-six".